How Many CFM Do I Need for a Room? Air Changes and Duct Size

CFM Calculator: Airflow for a RoomThe CFM for a room and an air-change rate, the round duct size, and the reverse.
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Part of the project planner: Planning heating, cooling and ventilation.

CFM is cubic feet per minute. For a room, CFM = volume in cubic feet × air changes per hour ÷ 60. A 15 × 12 ft room with an 8 ft ceiling is 1,440 cubic feet, and changing its air 6 times an hour needs 144 CFM and a duct about 6.6 inches across. The CFM calculator does your room.

CFM by room

With a typical air-change target for each kind of room (8 ft ceilings; the duct is the round size at 600 ft/min):

RoomVolumeAir changes per hourCFMDuct diameter
Bathroom 5 × 8 ft320 ft³843 CFM3.6 in
Bathroom 8 × 10 ft640 ft³885 CFM5.1 in
Bedroom 12 × 12 ft1,152 ft³477 CFM4.8 in
Living room 15 × 20 ft2,400 ft³4160 CFM7.0 in
Kitchen 12 × 15 ft1,440 ft³15360 CFM10.5 in
Workshop 20 × 20 ft3,200 ft³6320 CFM9.9 in

For particular rooms there are special rules: the bathroom fan calculator, the range hood calculator and the air purifier calculator each apply them.

Round duct size for each airflow

The diameter needed to carry the air at three speeds. Quieter systems use lower speeds and larger ducts; round up to the next standard size:

AirflowAt 400 ft/minAt 600 ft/minAt 800 ft/min
50 CFM4.8 in3.9 in3.4 in
80 CFM6.1 in4.9 in4.3 in
110 CFM7.1 in5.8 in5.0 in
150 CFM8.3 in6.8 in5.9 in
200 CFM9.6 in7.8 in6.8 in
300 CFM11.7 in9.6 in8.3 in
400 CFM13.5 in11.1 in9.6 in
600 CFM16.6 in13.5 in11.7 in

Why the real airflow is lower

  • A fan's CFM is measured with no duct. Long runs, elbows, grilles and flexible duct add resistance.
  • A fan rated at 110 CFM may deliver 70 or 80 CFM through a long, bent duct, so choose one rated for more, or keep the run short.
  • Pick a quiet fan (a low sone rating), or you will not use it.
  • Make up air has to come from somewhere: a door gap or vent, or the fan will starve.

A 110 CFM fan in the example room gives 4.6 air changes an hour. Estimates only: check your local code for required ventilation rates.

Frequently asked questions

How do you calculate CFM for a room?

Multiply the room volume in cubic feet by the air changes per hour and divide by 60. A 15 × 12 × 8 ft room (1,440 ft³) at 6 air changes an hour needs 144 CFM.

How many air changes per hour do I need?

Commonly 6 to 8 for a bathroom, 15 or more for a kitchen with a hood, and 2 to 4 for living areas. Guidance varies, so check your code.

What size duct for a given CFM?

Divide the CFM by the air speed to get the area, then the diameter. 144 CFM at 600 ft/min needs a duct 6.6 inches across, so use the next size up.

How many air changes does a 110 CFM fan give?

4.6 air changes an hour in a 1,440 ft³ room.

Does the duct run change the CFM?

Yes. A fan's CFM rating is at no resistance, and every elbow, long run and flexible duct cuts the flow, so allow a margin and keep the duct short and straight.

Bathroom Exhaust Fan Size CalculatorCFM for a bathroom exhaust fan by room size and fixtures.
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Range Hood CFM CalculatorHow many CFM a range hood needs for your cooktop and kitchen.
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Air Purifier Size Calculator (CADR)The CADR an air purifier needs for your room, from the air changes per hour.
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CFM Calculator: Airflow for a RoomThe CFM for a room and an air-change rate, the round duct size, and the reverse.
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Estimates only. Quantities depend on your materials, site and supplier. Confirm important numbers before you order, and follow local building codes for anything structural.