Hardscape

Building Steps Into a Garden Slope

Dividing an awkward bank into equal risers, matching the going to the ground you actually have, and laying every tread to a fall so it drains instead of icing.
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A bank that is steeper in the middle than at either end

The worn diagonal through the grass tells you where people already walk, and it is almost never where the steps want to go. A typical suburban bank between a lower lawn and an upper terrace climbs 1.44 m over about 5.4 m of horizontal distance, which averages out at 26.7 per cent, or roughly one in four. Nobody experiences the average. The middle third of that bank is closer to one in two and the ends flatten into the lawn, because that is the shape soil takes when it has been tipped over an edge and left to find its own angle for thirty years.

Two pegs and a taut line settle it. Drive one at the toe of the bank where the lawn stops being level, drive the second at the top where the terrace paving begins, and pull a line between them with a line level or a laser on it. What you want from that exercise is not one dimension but four: the vertical difference between the two pegs, the horizontal distance between them, the height of the line above the ground at three or four points along it, and how much all of that changes if you move the whole setup a metre sideways.

That last figure is the one that catches people. Measure the same bank on the left-hand edge of a 1.2 m wide flight and you may get 1.47 m of rise; measure it on the right-hand edge and you get 1.415 m, because the lawn itself falls across the site. The bank has no single rise. It has a rise per line, and until you choose the line, the arithmetic has nothing to work on.

So choose it. Set the flight centreline first, mark it with a string and two more pegs, and take the governing rise on that line only, top of the finished terrace paving down to the finished lawn or path level at the bottom. Every other reading becomes a regrading problem for the ground beside the steps rather than an input to the flight. This is the opposite of the indoor case, where the structure is fixed and the stair has to fit it — out here the flight is fixed once you commit, and the ground is the thing that gets adjusted.

Ten risers of 144, or nine of 160

With 1.44 m committed on the centreline, the whole design collapses to a single integer. Eight risers gives 180 mm, nine gives 160 mm, ten gives 144 mm, eleven gives 131 mm, thirteen gives 111 mm. Every one of those divides the rise exactly enough to build, and every one produces a completely different object: a steep utility flight, a comfortable garden stair, or a long shallow ascent that reads as a terraced slope rather than as steps.

Outdoors the proportion rule loosens: twice the riser plus the going can run out to about 660 mm and beyond, because people take exterior steps at a slower cadence and often carry things up them. What does not loosen is uniformity. The riser has to be the same all the way up whether the flight is indoors or in a hedge, and outdoor flights fail that test far more often, because the ground under them settles unevenly and because the top and bottom steps are tied into surfaces laid by somebody else.

The other constraint arrives from the merchant rather than the code. A riser height is not free: it has to be assembled from whole units of whatever you are building the riser out of, plus the thickness of the tread and its bed. That interacts with the count directly, and it is the reason to settle the number before ordering anything.

The same 1.44 m bank divided five ways, with the plan length each flight needs
RisersRiserGoingFlight run on planWhat happens to the rest of the 5.4 m bank
8180 mm300 mm2.10 m3.3 m left over — a steep flight with an unresolved slope still above it
9160 mm340 mm2.72 m2.7 m left over; a brick laid on edge suits this riser almost exactly
10144 mm400 mm3.60 m1.8 m left over, which is enough to spend on a landing
11131 mm450 mm4.50 m0.9 m left over; the flight starts to read as a slope with steps in it
13111 mm450 mm5.40 mfollows the bank exactly, no cut and no fill, but the risers are shallow
The same 1.44 m bank divided five ways, with the plan length each flight needs

Feed it the governing rise off the centreline together with the riser you are testing, and it returns the single count that divides the bank most evenly and the height those risers actually come to — the point at which the flight is still only a line on a string. Leave the going out of it: that field stops at 400 mm, exactly this flight's going, but the code checks behind it are written for interior flights, and Approved Document K, the NCC and Canada's code each set a maximum going that 400 mm is over, so the outdoor going belongs on the setting-out board rather than in the form.

The total vertical height the staircase needs to climb.

A comfortable target, not a code limit: about 175–190 mm (6.9–7.5 in) suits most house stairs.

The horizontal depth of each tread (the 'going') you plan to build, front edge to front edge.

Which building code to check your stair design against.

Number of risers needed

15 risers

High confidence

WITHIN THE LIMITS CHECKED — US IRC 2024: riser height 7.20 in (183 mm) and tread depth 10.25 in (260 mm) are inside the limits this calculator checks. That is not a compliance determination: headroom, handrails, guards, nosings and width are not checked, and the building control body or inspector decides.

Actual riser height
7.2 in
Number of treads (steps)
14 treads
Recommended tread depth (comfort formula)
10.6 in
Code max riser height (US IRC 2024)
7.75 in
Code min tread depth (US IRC 2024)
10 in
9 ft
Schematic, drawn to the proportions you entered — not to scale on screen.

What this calculation does not cover

  • Checks riser height and tread depth — and, under Approved Document K, the minimum rise, maximum going, 42° pitch and 2R + G as well. Headroom, handrail height and graspability, guard height, nosing projection and stair width are not checked.
  • Under Australia's NCC it checks the rise, the going, 2R + G and the 2 to 18 risers a flight may have; under Canada's National Building Code, the rise, the run and the 3.7 m (12.14 ft) a private flight may rise. Neither code's landings, balustrade or guard heights, handrails, headroom or tread construction are checked.
  • Assumes a single continuous flight — no landing requirements are evaluated.
  • Winder and spiral stairs follow different rules that this calculator does not model.
  • Local amendments to the model code frequently differ; confirm with your building department.

Code thresholds this tool can check

Code thresholds this tool can check

Checked for United States. Each check below names the body that published the limit it uses. Switching market re-runs them. This is not a code review and has no official standing.

These checks cover only the specific numeric limits listed below. They are not a complete code review: fire separation, egress, structural capacity and accessibility provisions are outside their scope, and only the handful of local amendments offered in the selector are modelled — your municipality may have others. Passing every check here does not make a design compliant. Final approval rests with your local building authority.

  • WITHIN LIMIT — Maximum riser height 7.75 in (197 mm).

    Riser height 7.20 in is within the 7.75 in IRC maximum.

    ICC · IRC 2024 §R311.7.5.1

  • WITHIN LIMIT — Minimum tread depth 10 in (254 mm).

    Tread depth 10.25 in meets the 10 in IRC minimum.

    ICC · IRC 2024 §R311.7.5.2

IRC 2024 also specifies handrail height (34-38 in), minimum headroom (6 ft 8 in), and guard requirements for open sides — none of which this calculator checks, so confirm those separately with your local building department.

The going is decided by the bank, not by the flight

Indoors the going is chosen and the stairwell is built to suit. On a bank it works the other way round: the going you pick decides how much of the slope the flight consumes, and whatever is left over has to be dug out or made up. A ten-riser flight at a 400 mm going occupies 3.6 m of the 5.4 m available, so 1.8 m of bank is surplus. That surplus is not an abstraction — it is either a cut face at the top of the flight that now needs holding back, or a fill at the bottom that will settle for two years, or a length of regraded lawn that has to be tied into both.

The tempting answer is to stretch the going until the flight covers the whole bank. Thirteen risers of 111 mm at a 450 mm going lands exactly on 5.4 m and moves no earth at all, which is genuinely the right answer on a long, gentle, wide slope where the steps are meant to feel like part of the lawn. It is the wrong answer where the same flight is somebody's route to a back door with shopping in both hands, because a 111 mm riser is below the range that guidance on external stepped access to a building — Approved Document M in England and Wales, BS 8300-1 for the wider external environment, AS 1428.1 in Australia — treats as usable, and a shallow riser with a deep going trips people who are looking ahead rather than down.

Balance cut against fill instead of eliminating both. Take the surplus run out of the bank at the top, where you are cutting into undisturbed ground and can hold the face with a low cheek wall, and keep the fill at the bottom short. Fill under the first step is the single most common cause of a garden flight whose bottom riser has grown by 20 mm after two winters, and no amount of care with the rest of the layout survives it.

Where the landing goes, and what it is actually for

At 1.44 m of total climb, no code is asking for a landing. The International Building Code caps the vertical rise a single flight may make before one is required — commonly stated as 12 ft, with the adopted edition and any local amendment governing — and the International Residential Code sets its own figure in inches that has moved between editions. Approved Document M limits the number of risers between landings on an external stepped approach to a building and sets a minimum landing length. A garden flight this size sits well inside all of them, which means the decision is yours and has to be made on other grounds.

The grounds are the ground. A landing is where you spend surplus run without changing the riser, where you turn the flight to dodge a tree or a drain, where you break a bank that changes its slope halfway up, and where you give a person carrying something a place to put it down. Insert one into the ten-riser flight and the geometry becomes eight goings of 400 mm plus a landing of 1.3 m, or 4.5 m of plan run against 3.6 m without it — the landing has absorbed 900 mm of the surplus and left only 900 mm to regrade. Make it at least as deep as the flight is wide, and never less than the 1200 mm that external access guidance treats as the working minimum, because a landing shorter than a stride is a wide step that people trip on.

A landing is not permission to change riser height. The five risers below it and the five above it are one flight as far as anyone walking is concerned, and a walker recalibrates their gait on the first two or three steps of the lower run and then carries that memory across the landing. Set both runs off the same design riser, and where the landing itself carries a fall — it must — remember that the fall is part of the rise of the step above it.

Seven and a half millimetres across the tread

A tread laid dead level is a shallow tray. It holds the film of water that surface tension will not release, that film freezes overnight in the shade at the bottom of the bank where the sun never reaches until March, and the step becomes the most dangerous part of the garden at exactly the time of year people are least likely to look down. Everything horizontal outdoors gets a fall, and on a step the fall is small enough that it has to be set deliberately or it will not happen: on a 450 mm tread slab, a fall of one in sixty is 7.5 mm from back edge to nosing. Nobody puts that in by eye.

Which way it points is a real decision rather than a convention. Falling forward is simplest to build and sends every tread's water onto the tread below, so a ten-step flight delivers ten treads' worth of runoff to the bottom step and the ground in front of it — fine if there is somewhere for it to go, a slow-forming sheet of ice if the bottom lands in a hollow. Falling sideways across the flight, into a border or a channel at one cheek, keeps each tread's water to itself and is the better answer on a long flight, on a shaded flight, or anywhere the bottom step meets a wall. On a landing, fall away from the flight rather than into it.

The fall has one consequence people miss, and it eats an inspection tolerance for nothing. Stand a tape at the back of a tread, hard against the foot of the riser above, and measure up to that step's nosing: on this flight you read 136.5 mm. Move the tape forward to the nosing of the tread you are standing on and measure to the same point: 144 mm. Both are honest readings of the same step, and they differ by exactly the fall you built in — 7.5 mm, which is most of the variation a whole flight is allowed. Pick one method, nosing to nosing, because that is the surface a foot arrives on, and use it for every riser, on every visit, with the same tape.

Where the fall gets lost is at the bedding. A slab on five spots of mortar tips wherever the spots are; a slab on a full bed keeps whatever fall you screeded into that bed. Set it in the bed, prove it with a shim of known thickness under one end of a level rather than trusting a bubble that reads level over 450 mm anyway, and prove it again after the slab is tapped down.

Falls arrive in the trade as ratios and leave as millimetres across a specific dimension, so convert once and write both numbers on the setting-out board: the bank at 1.44 in 5.4, and the tread at 7.5 in 450.

The vertical change in height over the run.

The horizontal distance over which the rise occurs.

Slope grade

8.974 %

High confidence
Angle
5.13 degrees
39 ft3.5 ft
Schematic, drawn to the proportions you entered — not to scale on screen.

What this calculation does not cover

  • Run is taken as the true horizontal distance between the two ends, and nothing converts a tape laid along the sloping face into that horizontal — measure along the surface instead and the grade reads lower than the ground really is, with the gap widening as the slope steepens.
  • Rise is read as a magnitude only, so a drop and a climb of the same size return the same positive grade and a negative entry is floored to zero; which end is higher stays your own note rather than something the answer carries.
  • Both figures describe a single straight line drawn between the two points you measured, so any crest, dip or bench sitting between them is averaged away, and cross-fall across the width of a drive or path is not part of the arithmetic at all.
  • The output covers grade percent and the matching angle; the sloping distance itself — what you would order ramp board, handrail or edging against, and always longer than the run — is not worked out, nor is the result expressed as the 1-in-X ratio that specifications are often written in.
  • No ceiling is applied to the outcome: a 2% fall and a 45% bank come back with identical confidence, and the accessible-ramp and driveway grade figures quoted in the questions below are context for reading your number, not a test the calculation runs against it.

Formation, geotextile and sub-base: the part measured on the rake

A garden step fails from underneath. Excavate to a formation that steps roughly parallel to the finished flight rather than digging one deep rectangular hole, cart the arisings away instead of pushing them downhill onto the ground the bottom step will sit on, and get down to material that has not been disturbed. Where the bank is made ground — and on a bank formed when the house was built, some of it always is — the depth you have to reach is a site question rather than a specification one.

Separate before you fill. A geotextile between the formation and the sub-base stops fine soil pumping up into the stone under cyclic loading, which is the mechanism that quietly halves the thickness of a base over a decade; AASHTO M288, Geotextile Specification for Highway Applications, is the usual reference for choosing a separation grade. Then bring the sub-base up in compacted layers of about 100 to 150 mm with a plate compactor, and compact each layer before the next goes on. A single 300 mm dump compacted from the top is loose in the middle whatever the surface feels like, and the laboratory reference for what constitutes compaction — ASTM D698 or ASTM D1557, depending on the effort specified — exists precisely because surfaces lie.

Order it against the raking area, not the plan area. This is where garden steps differ from a patio and where the tonnage comes out short. The plan footprint of the example flight is 1.2 m wide by 4.5 m long, or 5.4 m². The surface the sub-base actually has to cover is the stepped formation, whose developed length is every going plus every riser: 3.2 m of treads, plus the 1.3 m landing, plus 1.44 m of accumulated riser faces, which is 5.94 m, and at 1.2 m wide that is 7.1 m². Thirty per cent more stone than the plan area suggests, before anyone has allowed for compaction or for the over-dig at the edges.

What a garden step is made of, bottom up

Three steps cut into a bank, seen in section. On the compacted formation and its separation geotextile sit a stepped sub-base, a stepped concrete core, a brick riser course at each step, a full mortar bed, and a slab tread projecting past the riser face as a nosing.
  1. Tread slabs — sized to the going plus the nosing projection, so a 400 mm going wants a 450 mm slab and every flight has cuts at both cheeks Paver Calculator
  2. Full mortar bed — the layer that holds the drainage fall — spot bedding lets the slab find its own plane and loses it
  3. Riser course — a retaining element as much as a face, holding the tread above and the fill behind it against a bank that wants to move Brick Calculator
  4. Stepped concrete core — carries the risers and ties the flight together so no individual step can settle away from its neighbours Concrete Calculator
  5. Compacted sub-base — laid and compacted in layers, and bought against the raking length of the stepped formation rather than the plan run Gravel Base Layer Tonnage Calculator
  6. Formation and separation geotextile — undisturbed ground, with a separation layer that stops soil pumping up into the stone under repeated loading Driveway Separation Geotextile Roll Calculator

Enter the raking area rather than the plan footprint — 7.1 m² against 5.4 m² on this flight — and the compacted thickness you intend to finish at, since the merchant sells you loose stone and the specification is written on the compacted layer.

The total area to be covered with gravel base.

The target compacted thickness of the base layer.

The in-place density of the base once it is compacted.

Gravel base needed

73.8 tons

Medium confidence

Actual density varies by material gradation and compaction — confirm with your supplier's specific product density for a precise order quantity.

Volume
39.81 yd³
Equivalent in US (short) tons
73.82 tons

Estimated cost — your price

This site holds no price list for this material — local prices vary too much to publish honestly. Enter your supplier's price and the result is costed with it.

compacted gravel 6 incompacted gravel 15.24 cmsubgrade

What this calculation does not cover

  • This is a take-off, not a pavement design. It multiplies out whatever compacted thickness you enter; nothing here derives that depth from traffic loading, subgrade strength, drainage or frost depth, which come from a pavement design or your local road authority's standard.
  • Geometry is a flat plan area at one uniform depth. Crown and cross-fall, a formation that steps between thicknesses, a dig that deepens where the subgrade was soft, and edge thickening or haunching at the perimeter all fall outside area x thickness.
  • No waste, spillage or subgrade-loss allowance is applied. The figure is the exact in-place mass, so stone lost into a soft or uneven formation, over-excavation, haul and spread losses, and the tail end of a part-load all sit on top of it.
  • The density field is an in-place compacted density. A supplier's loose bulk density and a weighbridge ticket carrying free moisture are different quantities, and substituting either moves the tonnage: the wetter the delivered material, the less dry stone a given delivered weight puts on the ground.
  • It covers one layer of one material. A base and sub-base of different gradations, a bedding or blinding course, and the geotextile or separation membrane between stone and subgrade are not counted here.

The concrete that stops the flight walking downhill

Everything on a slope is being pushed down it. A masonry step flight built on compacted stone alone will creep: the bottom riser eases forward a few millimetres a year, the joint behind it opens, water gets into the opening, and the freeze does the rest. The restraint is a concrete toe beam under the bottom riser, cast into undisturbed ground and deep enough that it is below the depth seasonal freezing reaches on your site. On the example flight that is a beam roughly 1.5 m long, 400 mm wide and 350 mm deep — 0.21 m³ — sized so it projects past both cheeks of the 1.2 m flight.

Above it, the flight sits on a stepped core with a haunch behind each riser course. A haunch 100 mm thick and 150 mm high behind ten risers 1.2 m wide is another 0.18 m³, giving 0.39 m³ for the flight, and around 0.45 m³ once the over-dig and the losses in a barrow are allowed for. Slab estimators size a rectangle, so a stepped or wedged pour has to be handed to them as a sum of prisms, or as one prism at the average of its thickest and thinnest sections. Doing that on paper takes a minute and stops the classic error of ordering against the thin end.

The mix matters more here than on a slab inside a garage. Exterior concrete in a freezing climate is saturated for weeks at a time and is being asked to survive cycles rather than loads; ACI 318, Building Code Requirements for Structural Concrete, sets freezing and thawing exposure categories for exactly this condition and requires air entrainment across them, with the most severe category covering concrete that will also meet de-icing chemicals. ACI 332, Residential Code Requirements for Structural Concrete, is the residential companion, and ACI 306R, Guide to Cold Weather Concreting, governs whether you should be pouring at all on the day. Specify air-entrained concrete to a named exposure class when you order; the batcher cannot add air on site.

Then give the pour something to hold — reinforcement in the toe beam, a starter bar into the core, and a rough surface rather than a trowelled one where masonry will bed on it — and leave it alone. Masonry set on green concrete moves with it.

Run the toe beam and the haunching as separate rectangular volumes and add them, because a stepped pour handed to any slab estimator as a single average thickness is the way a flight ends up half a barrow short at the top.

Concrete Calculator

SettingsSettings for this calculation
Who is doing the work?

The standard allowance most suppliers and estimating guides assume for ordinary work.

The length of the slab or footing.

The width of the slab or footing.

How deep the concrete pour is.

Extra concrete for spillage, uneven subgrade, and forming imprecision.

Estimated concrete needed

1.358 cubic yards

High confidence
Volume (no waste)
1.23 yd³
Volume with waste factor
1.36 yd³
Cubic feet
36.67 ft³
80 lb bags needed
62 bags

Estimated cost — your price

This site holds no price list for this material — local prices vary too much to publish honestly. Enter your supplier's price and the result is costed with it.

Plan of the slab, 10′ by 10′.10′10′

What this calculation does not cover

  • Geometry is one rectangular prism: length x width x a single uniform thickness. Thickened edges, integral footings, haunches, steps, curbs and any non-rectangular outline are not in the figure, and nothing is subtracted for block-outs or openings. Take those off as separate volumes and add them.
  • It assumes a flat, compacted subgrade sitting at exactly the depth you entered. Ruts, soft spots, over-excavation and a base that dishes in the middle all take concrete the geometry never sees, and a flat waste percentage is not a measurement of that. On a rough base, check depth across the whole pour rather than trusting the allowance.
  • This is a volume take-off, not a structural decision. It accepts whatever thickness you type without sizing it, and says nothing about mix strength, aggregate size, air entrainment, fibre, or rebar and mesh. Slabs carrying vehicles, footings, and anything supporting a structure are a code and engineering question.
  • The bag count assumes an 80 lb (36 kg) bag yields about 0.6 cubic feet (17 litres) of mixed concrete, and rounds up to whole bags. Real yield shifts with the product and with how much water goes in, and no other bag size is converted for you.
  • The volume is not an order quantity. Ready-mix is sold in fixed increments with a minimum load and its own short-load charges, and concrete left in the drum, the chute or the pump line is not counted. The waste factor covers spillage and forming slop, not the plant's ordering rules.

Code thresholds this tool can check

Code thresholds this tool can check

Checked for United States. Each check below names the body that published the limit it uses. Switching market re-runs them. This is not a code review and has no official standing.

These checks cover only the specific numeric limits listed below. They are not a complete code review: fire separation, egress, structural capacity and accessibility provisions are outside their scope, and only the handful of local amendments offered in the selector are modelled — your municipality may have others. Passing every check here does not make a design compliant. Final approval rests with your local building authority.

  • WITHIN LIMIT — Concrete floor slabs on ground: minimum 3.5 in (89 mm) thick.

    Slab thickness 4.00 in meets the 3.5 in IRC floor-slab minimum. Expansive soils are handled separately under IRC R403.1.8, and any slab carrying vehicles or point loads should be designed rather than taken from the code minimum.

    ICC · IRC R506.1

Riser courses, and the brick that decides the riser

Work the riser height backwards from the units and the picture changes. A 144 mm riser built from a 65 mm brick laid flat, a 50 mm tread slab and a 15 mm mortar bed leaves 14 mm for the bed joint under the brick — one course, a slightly fat but perfectly normal joint, and the numbers close. A 160 mm riser cannot be built from the same course: 65 plus 50 plus 15 leaves a 30 mm joint, which is not bricklaying. It can be built beautifully from a brick laid on edge, where the 102.5 mm face plus the 50 mm slab plus a 7.5 mm bed comes to 160 mm almost without adjustment. The riser count and the way the brick is laid are one decision, not two.

Choose the brick for saturation, not for colour. A riser sits in the wettest position in the garden, holding back damp fill on one face and taking splash and standing snow on the other, and it will be frozen while saturated many times a year. In Europe that is the F2 freeze-thaw category of BS EN 771-1, Specification for masonry units, Clay masonry units, and clay pavers to BS EN 1344 are the obvious alternative. In North America it is Grade SW under ASTM C216, Standard Specification for Facing Brick, or Class SX under ASTM C902, Standard Specification for Pedestrian and Light Traffic Paving Brick. A soft facing brick that has been perfectly happy in a wall two metres above ground will spall its face off in a riser inside three winters.

The mortar is the other half of that. Use a designation suited to external work below and around ground level rather than the leanest mix on the bag, keep the joints full and struck so water runs off rather than sitting on a recessed ledge, and resist the urge to point the top joint flush with the tread — that joint is the one carrying the drip line off the nosing. On the take-off, the ten riser faces of a 1.2 m flight are one wall 12 m long and a single course high; that is about 54 bricks in stretcher bond before any cuts, which is why the order is dominated by breakage and cheek returns rather than by the run itself.

Give it the actual brick you have bought and the joint you intend to work to rather than a nominal rate, because on a riser course the joint width is what makes the riser height come out right and it changes the count at the same time.

Brick Calculator

SettingsSettings for this calculation
Who is doing the work?

The standard allowance most suppliers and estimating guides assume for ordinary work.

The length of the brick wall or veneer.

The height of the brick wall or veneer.

Extra bricks for cuts, breakage, and corners.

The actual (not nominal) length of your brick face, before adding the mortar joint.

The actual (not nominal) height of your brick face, before adding the mortar joint.

The thickness of the mortar joint between bricks, both horizontally and vertically.

The brick's depth, which becomes the wythe thickness for a single-wythe veneer wall.

Estimated brick needed

1,177 bricks

High confidence
Wall area
156 sq ft
Coverage rate (from your dimensions)
6.86 bricks/sq ft
Base brick count (no waste)
1,070 bricks
Mortar mix needed
14 80 lb bags

Estimated cost — your price

This site holds no price list for this material — local prices vary too much to publish honestly. Enter your supplier's price and the result is costed with it.

5 ft2 m19.5 ft5.94 m8 ft2.44 m7.63 in193.68 mm2.63 in66.68 mm0.375 in9.53 mm

What this calculation does not cover

  • Openings and returns are not in the geometry. The count treats the wall as one plain rectangle of face area, with nothing deducted for doors, windows, vents or reveals and nothing added for corners, returns or piers. Take openings out of the length and height you enter before you read the answer.
  • It counts one wythe of brick laid flat, showing its long face. A second wythe or cavity leaf, header courses and rowlock bands, and any bond that turns bricks to show their end all put more units in the same area than this returns. Brick depth changes the mortar figure only, never the brick count.
  • The mortar figure is joint geometry, not a mix design. It is the volume of the bed and head joints implied by your joint width and brick depth, converted at one premixed bag's published yield; it excludes the collar joint between wythes, droppings and board waste, and it assumes every joint is solidly filled. It does not proportion cement, sand, lime or water for a site-batched mix, and it does not pick a mortar type for your exposure.
  • Nothing but brick and bagged mortar is counted. No wall ties, weep holes or vents, lintels, DPC, flashing, movement joints or reinforcement, and no bedding for sills and coping.
  • This is a quantity take-off, not a structural design. It says nothing about wall thickness for the height, lateral restraint, wind or retained load, foundations, or the mortar strength the exposure demands. A freestanding, retaining or loadbearing wall needs those from the building code or an engineer.

Treads, nosings and the joint that has to shed

The tread slab is deeper than the going by whatever the nosing projects: a 400 mm going with a 50 mm overhang wants a 450 mm slab. The overhang throws water clear of the riser face below and gives the eye a shadow line that tells a descending walker where the edge is. Too little and the water runs down the riser and stains it; too much and the unsupported lip snaps, which is why the projection is measured rather than eyeballed and why the tread is bedded solid to the front of its support.

Sizing is not patio sizing. A patio is a field with cuts around the edge; a flight is nothing but edges. Every tread is cut to the flight width at both cheeks, the landing is a different module from the treads, and the waste factor that would be generous on an open area is thin here. On the example flight the eight treads at 1.2 m by 0.45 m come to 4.32 m², the landing at 1.2 m by 1.3 m adds 1.56 m², and 5.9 m² in 600 by 450 units is 22 whole slabs before a single cut — which is why the order goes in at 26.

Then check what you are standing on when it is wet. Slip resistance is measured, not asserted: the pendulum method of BS 7976 is the reference test in the UK and the Slip Resistance Group guidelines are what the numbers get compared against, with wet values and a higher expectation on stairs than on level ground. Manufacturers of concrete flags to BS EN 1339 and of natural stone publish tested values, and a honed or polished finish that is entirely sensible on an interior floor is the wrong product on an exterior tread. Sawn sandstone, riven stone, textured concrete and clay pavers all behave differently under a February film of algae, and the algae is not optional in shade.

Size the treads and the landing as one area against the slab module you have actually chosen, then push the waste allowance well past a patio's, because a flight is all perimeter and every course is cut at both ends.

Paver Calculator

SettingsSettings for this calculation
Who is doing the work?

The standard allowance most suppliers and estimating guides assume for ordinary work.

The length of the area to be paved.

The width of the area to be paved.

Any part of the rectangle that is not paved — a pool, a planting bed, a tree pit. Leave it at 0 for a plain rectangle.

The length of a single paver.

The width of a single paver.

Extra pavers for edge cuts, curves, and breakage.

Estimated paver needed

143 pavers

High confidence

The pavers are the visible tenth of the job. What determines whether they stay flat is the base beneath them and the edge restraint around them, and both are larger quantities than the surface.

Patio area
130 sq ft
Coverage per paver
1 sq ft

Estimated cost — your price

This site holds no price list for this material — local prices vary too much to publish honestly. Enter your supplier's price and the result is costed with it.

13 ft10 ft
Schematic, drawn to the proportions you entered — not to scale on screen.

Paver setting-out grid — drawn from your figures

A 3.96 x 3.05 m patio set out in 0.3 x 0.3 m pavers, stack bond.

A DXF plan in metres. Opens in AutoCAD, LibreCAD, QCAD and most jobsite viewers.

What this drawing does not show (3)
  • The bond. This is drawn as a stack bond because the calculator counts by AREA and assumes no pattern — running bond, herringbone and basketweave all cover the same area and change only the cuts.
  • Joint width and edge restraint.
  • Where the cuts fall, which depends on which corner you start from.

It is a setting-out aid drawn from the figures you entered, not a construction drawing, and nobody has checked it against a design.

What this calculation does not cover

  • Excludes the sub-base, bedding layer and jointing sand, each of which has its own depth and its own compaction allowance.
  • Excludes the edge restraint, without which the field spreads laterally under traffic and the joints open.
  • Does not model cutting waste on a curved or angled layout, which is far higher than on a rectangular field.

Measure every riser before the mortar goes off

The check is worth doing at the one moment it can still be acted on: after the treads are bedded and levelled, before the joints are filled and while the beds are green enough that a slab can be lifted and re-laid. Run a tape nosing to nosing on every riser in the flight — not the ones that look wrong, all of them — and write the readings down in order. The two that will be out are the first and the last, because those are the ones tied into a lawn and a terrace built by somebody else and finished to a level that moved after you took it.

What the readings have to satisfy is a flight-wide rule, not a neighbour-to-neighbour one. The International Residential Code and the International Building Code both limit the difference between the greatest and the smallest riser in a flight to 3/8 in, or 9.5 mm, with the adopted edition governing; Approved Document K and BS 5395-1 express riser uniformity in their own terms for work in England and Wales, and the National Construction Code does the same in Australia. A flight can pass every adjacent-pair comparison you make with a spirit level and still fail the spread between its two extremes by a wide margin, which is how uneven flights get signed off and then trip people for twenty years.

  1. Measure nosing to nosing on the flight centreline, with the same tape, at the same point on every tread.
  2. Record all ten readings in order rather than only the ones that feel wrong.
  3. Subtract the smallest from the largest and compare the difference against the variation your jurisdiction allows.
  4. If the spread is over, lift and re-bed the offending tread while the mortar is green — packing a slab later moves the fall as well as the riser.
  5. Re-measure either side of any tread you adjust, since a correction at one step moves both risers that touch it, and keep the list — it is the only evidence of what the flight measured on the day it was built.

Enter the tallest and the shortest readings off your list against the variation your code allows, and see how much of the allowance the flight has already spent before winter starts moving the bottom step.

The largest riser you measured anywhere in the flight.

The smallest riser you measured anywhere in the flight.

The variation your adopted code allows across one flight.

How many risers the flight contains from floor to floor.

Finished floor to finished floor, measured over the whole flight.

Spread between tallest and shortest riser

0.25 in

High confidence

The riser spread measured is 0.12 in inside the variation entered. Re-measure after the floor finishes go down at both ends, because that is when a flight that was inside the limit most often stops being. Matching the figures quoted is not compliance. The rest of the requirement, and the installed work, are outside what this page can see.

Permitted variation for this flight
0.38 in
Margin left before the limit
0.12 in
Uniform riser height for this flight
7.5 in
Tallest riser above the uniform height
0 in
Shortest riser below the uniform height
0.25 in

Add the equipment this sizes

This result is a specification — 0.25 in — not a quantity. Put the thing it sizes into your project: how many, what you call it, and your supplier’s price.

7.5 in
Schematic, drawn to the proportions you entered — not to scale on screen.

What this calculation does not cover

  • Works from the two extremes you supply. It cannot find an outlier you did not measure, and the rule it applies is flight-wide rather than pairwise.
  • Riser height is one of several stair checks. Tread depth uniformity, nosing projection, headroom and handrail geometry are all separately enforced and a flight can pass here and fail those.

What the second winter finds

Garden steps do not fail on handover; they fail in February of their second year, and always in the same three places. The bottom step, because it was built on fill and because every tread above it has been delivering water there. The top step, because the terrace it ties into was laid to its own falls by someone who was not thinking about a flight. And the cheeks, because the bank behind them was never given a route for water and has been pushing the outer edge of the treads outward all year.

Two habits buy most of that back. Keep de-icing salt off new concrete through its first winter, since chloride-bearing de-icers on young concrete produce the surface scaling that ACI's most severe freezing exposure category exists to address, and use grit for traction instead. Then go back after the first hard frost with the tape and the list you wrote at handover, measure the same ten risers the same way, and compare. A step that has moved 3 mm in one winter has told you exactly where the flight is going, at the point where relaying one tread still fixes it.

Setting out a flight into a bank

Six numbers that have to exist on paper before anything is dug, each of them a figure that changes the flight rather than merely describing it.

  • Governing rise, taken on the flight centreline — Finished terrace level down to finished lawn or path level on one chosen line, with the readings from either cheek recorded separately as regrading, not as inputs.
  • Riser count, and the unit it will be built from — The riser height has to be assembled from whole courses plus the tread and its bed; 144 mm suits a brick laid flat, 160 mm suits one on edge.
  • Going, and the surplus run it leaves on the bank — Flight run subtracted from the bank run gives the cut and fill to be balanced, with the fill kept away from under the bottom step.
  • Landing position and depth — At least the width of the flight and not less than 1200 mm, set off the same design riser as both runs it separates.
  • Fall per tread, in millimetres and as a ratio — Around 7.5 mm across a 450 mm slab at one in sixty, with the direction decided — forward to a drained bottom, or sideways to a border.
  • Raking area of the formation — Every going plus every riser face times the flight width, which on this example is 7.1 m² against a 5.4 m² plan footprint.
Open this as a workspace →

Opens the calculators above on one screen with the dimensions from this article already filled in. Quantities only — this site publishes no price list, because local prices vary too much to publish honestly.

Drawn from

  • International Residential Code (IRC)
  • International Building Code (IBC)
  • Approved Document K: Protection from falling, collision and impact (England and Wales)
  • Approved Document M: Access to and use of buildings (England and Wales)
  • BS 5395-1: Stairs. Code of practice for the design of stairs with straight flights and winders
  • BS 8300-1: Design of an accessible and inclusive built environment. External environment. Code of practice
  • National Construction Code (Australia)
  • AS 1428.1: Design for access and mobility. General requirements for access. New building work
  • ACI 318: Building Code Requirements for Structural Concrete
  • ACI 332: Residential Code Requirements for Structural Concrete
  • ACI 306R: Guide to Cold Weather Concreting
  • BS EN 771-1: Specification for masonry units. Clay masonry units
  • BS EN 1339: Concrete paving flags. Requirements and test methods
  • BS EN 1344: Clay pavers. Requirements and test methods
  • ASTM C216: Standard Specification for Facing Brick (Solid Masonry Units Made from Clay or Shale)
  • ASTM C902: Standard Specification for Pedestrian and Light Traffic Paving Brick
  • ASTM D698 and ASTM D1557: Standard Test Methods for Laboratory Compaction Characteristics of Soil
  • AASHTO M288: Geotextile Specification for Highway Applications
  • BS 7976 (Parts 1 to 3): Pendulum testers, and the UK Slip Resistance Group guidelines on pendulum test values

Guidance, not a specification. Local codes, the engineer of record and the product manufacturer’s instructions govern where they differ from anything written here.