Plumbing & HVAC

Bathroom Extract Fan Rate and Duct Resistance Calculator

The extract rate a wet room needs, and the equivalent duct length that decides whether the fan you bought will actually deliver it.

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  • Every formula cited
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Market
Imperial · sales tax
The wet room's own floor, not the landing outside it.

A bathroom is ventilated as its own volume because the door is shut when it matters. Where a WC is a separate compartment it is a separate calculation, and a room with a permanently open arch to a bedroom is neither — it is one larger volume and a harder problem than this page solves.

Floor to ceiling, for the volume.

Take the real height rather than a nominal one — a room with a dropped ceiling over the shower has less volume than its walls suggest, and a room in a loft with a sloping ceiling has less again. Volume is directly proportional to the answer, so an error here passes straight through.

How many times the room's whole volume is replaced each hour.

Domestic guidance for a bathroom commonly lands between 8 and 15 air changes an hour, and the higher end applies where there is a shower rather than only a bath. Some codes set a flat volume-per-second figure instead of a rate — where yours does, that number governs and this page is a cross-check on it rather than a substitute.

Measured along the duct, not across the room.

Follow the route the duct actually takes, including the rise into a ceiling void and the drop to the terminal. A run that looks like two metres on a plan is regularly four once it has gone up, across and out, and every one of those metres is resistance the fan's box never accounted for.

Every change of direction, including the one at the terminal.

Count the turn out of the fan spigot and the turn into the wall or roof terminal — both are bends and both are usually forgotten. A sagging loop of flexible duct lying in a ceiling void is several bends that nobody counted and nobody can see.

Corrugated flexible costs far more per bend than rigid.

Flexible duct is quicker to fit and the reason a great many extractors underperform: its corrugated wall is rougher than smooth bore along every straight metre, and its bends compress on the inside where rigid bends do not. Where a run is long or has several turns, rigid is the difference between a fan that clears the mirror and one that hums.

Extract rate required

69.3 CFM

Medium confidence

62% of the run's resistance is the bends rather than the straight duct. Read the required flow against the fan's curve at that equivalent length, not against the figure on the box.

Room volume
520 cu ft
Equivalent duct length
26.4 ft
Each bend is worth
8.2 ft of duct
Then change the inputs to see how far the answer moves.

Show calculation logic

How this was calculated

Formula source(s)

  • Required extract flow is the room volume multiplied by the target air changes per hour, divided by 3.6 to convert cubic metres per hour into litres per second
  • A fan's quoted flow is measured at zero static pressure — free air, with no duct attached — so it is an upper bound rather than a delivered rate, and the difference on a real run is substantial
  • Duct fittings are costed as an equivalent length of the same straight duct; a bend in corrugated flexible duct is worth considerably more than the same bend in rigid, because the inner wall compresses as it turns

Inputs used

Room floor area
65 sq ft
Ceiling height
8 ft
Air changes per hour
8
Straight duct run
10 ft
Bends in the run
2
Duct type
Flexible (corrugated)

Intermediate steps

Room volume
520 cu ft
Equivalent duct length
26.4 ft
Each bend is worth
8.2 ft of duct
Final result69.33 CFM

Confidence note: 62% of the run's resistance is the bends rather than the straight duct. Read the required flow against the fan's curve at that equivalent length, not against the figure on the box.

What this calculation does not cover

  • THIS IS THE REQUIREMENT, NOT WHAT YOUR FAN WILL DELIVER. A fan's quoted flow is measured in free air with no duct attached. What it moves through the run described here depends on that fan's own pressure curve, which is a property of the fan and cannot be derived from anything on this page — so the page gives you the two numbers to read against the curve and deliberately invents no third one.
  • The equivalent length prices the fittings, not the terminal. A louvred grille, an insect mesh or a backdraught shutter each add resistance of their own, and a mesh that has been in a coastal wall for five years adds a great deal more than a new one.
  • Air has to get IN. An extract rate is only achievable if the same volume can enter — under the door, through a trickle vent, from the landing. A fan cannot move what cannot be replaced, so a well-sealed room with a tight door is one where the fan works against itself, and no duct calculation sees that.
  • Nothing here covers the fan's noise, its run-on timer, humidity sensing, or whether the terminal position satisfies the separation distances a code asks for. A duct discharging under a soffit vent is putting the moisture back into the roof.
  • An air change rate and a flat volume-per-second figure are different specifications, and codes use both. Where yours sets a flat figure, that figure governs; this page then tells you what air change rate it amounts to in your room.

Add the equipment this sizes

This result is a specification — 69.3 CFM — not a quantity. Put the thing it sizes into your project: how many, what you call it, and your supplier’s price.

10 ft8 ft
Schematic, drawn to the proportions you entered — not to scale on screen.

Part of bigger jobs

This trade is one line of several job takeoffs. Run the whole job and every other trade comes back with it, off the same measurements.

Computed in your browser — nothing you enter is uploaded. Presented in US customary units and US trade terminology. Where a formula follows a published standard, that standard and its edition are cited beside it on this page; where none governs, the page says so. Local amendments override model codes — verify against the code in force where you build.

Sources checked 2026-09-24 · v1.0.0

Regulatory standards & verification citations3
  1. Required extract flow is the room volume multiplied by the target air changes per hour, divided by 3.6 to convert cubic metres per hour into litres per second
  2. A fan's quoted flow is measured at zero static pressure — free air, with no duct attached — so it is an upper bound rather than a delivered rate, and the difference on a real run is substantial
  3. Duct fittings are costed as an equivalent length of the same straight duct; a bend in corrugated flexible duct is worth considerably more than the same bend in rigid, because the inner wall compresses as it turns
Cite this page

Your workspace

Most jobs need more than one number. Add the calculators you need next and they open right here, underneath this one — your figures stay on screen and nothing is lost to a page change.

Tools and safety for this job

To commission mechanical ventilation. Generic types, no brands, no prices.

Protection this work requires

  • Most fatal falls on small jobs are from under three metres: use a tower or a ladder tied at the top, and never work off the top two rungs.
  • Assume every cable is live until proved dead at the point you will touch, with a two-pole tester you have just proved on a known source.

Commission mechanical ventilation: Measuring a fan's airflow with a meter is within reach of a careful DIYer, and it says whether the fan moves the air it was sized for. Wiring the fan is electrical work, and where a market requires the measured rates to be recorded for a building authority, the record comes from the installer or a competent tester, not from this site.

Show the 2 tools this job needs

Essential

  • Airflow meter

Recommended

  • Step ladder

what each hvac tool is for, and the spec that decides which to buy where one does.

How to calculate bathroom extract fan rate and duct resistance in 7 steps

  1. Room floor areaThe wet room's own floor, not the landing outside it.
  2. Ceiling heightFloor to ceiling, for the volume.
  3. Air changes per hourHow many times the room's whole volume is replaced each hour.
  4. Straight duct runMeasured along the duct, not across the room.
  5. Bends in the runEvery change of direction, including the one at the terminal.
  6. Duct typeCorrugated flexible costs far more per bend than rigid.
  7. Extract rate requiredThe tool computes the extract rate required from those figures and shows the formula, its sources, and a confidence rating alongside it.

Extract rate required by room floor area

Page defaults, not your figures above.

Room floor areaExtract rate required (CFM)
40 sq ft42
60 sq ft63
80 sq ft84
100 sq ft105
120 sq ft126

Frequently asked questions

Why does my new extractor not clear the mirror?
Because the number on the box was measured with no duct attached. A fan is rated in free air at zero static pressure, and the moment you connect four metres of flexible duct and two bends it is working against a resistance the test never saw. Corrugated flexible duct is the usual culprit: its wall is rough along every straight metre and its bends compress on the inside. Swapping the same fan onto rigid duct with fewer turns often fixes a fan that seemed underpowered, because nothing was wrong with the fan.
How many air changes does a bathroom need?
Domestic guidance commonly sits between 8 and 15 an hour, with the higher end where there is a shower rather than only a bath — a shower puts far more moisture into the air in far less time. Some codes set a flat litres-per-second figure instead, and where yours does, that number governs and this page becomes a cross-check: it tells you what air change rate that flat figure amounts to in your particular room, which is often a surprise in a large bathroom.
What is an equivalent length and why does it matter?
It is the trick that makes a duct run comparable: a fitting is expressed as the length of straight duct that would cost the same in resistance. A 90-degree bend in rigid duct is worth about a metre; the same bend in corrugated flexible is worth considerably more, because the inner wall crushes as it turns. Add those to the straight run and you have one number to read against a fan's pressure curve. It is why a three-metre run with four bends can be harder work than a ten-metre straight one.
Does the air have to get in from somewhere?
Yes, and it is the most-missed half of ventilation. A fan cannot extract a litre that cannot be replaced, so a well-sealed room with a close-fitting door and no trickle vent is a room where the fan works against itself and the measured flow collapses. The usual provision is an undercut at the door or a vent in it. No duct calculation anywhere will show you this — the duct is fine, the fan is fine, and the room is simply not letting anything in.
Preliminary estimate, not certified engineering. This tool produces an indicative quantity calculation for planning purposes only — it is not a certified structural analysis, a guaranteed material takeoff, or a substitute for building department approval. Always verify measurements on-site and have a licensed contractor or structural engineer review any load-bearing, code-sensitive, or safety-critical work before purchasing materials or starting construction. Spotted an arithmetic or standards error? Report it to contact@craftquantities.com with your inputs — a confirmed fix gets a permanent check of its own, so the same mistake cannot come back.