CFM and air changes calculator

Five calculators in one: room airflow from air changes, air changes from a measured airflow, system airflow from tons, bathroom fan size and range hood size. Every answer shows the math.

5 modesRoom, ACH, tons, bath, kitchen
HVIThe exhaust guidance used
FreeNo email, no sign-up
ft
ft
ft
ACH
Airflow for this room
135 cfm
6 air changes per hour in 1,344 cu ft
1,344 cu ftRoom volume
168 sq ftFloor area
0.8CFM per sq ft
Air changes size ventilation and exhaust. Heating and cooling airflow comes from the room's load instead; use the system airflow mode.

How we got this

  1. Room volume14 × 12 × 8 ft = 1,344 cu ft
  2. Air per hour1,344 cu ft × 6 ACH = 8,064 cu ft per hour
  3. Per minute8,064 ÷ 60 = 134.4 cfm
ACHCFM for this room
123
245
490
6135
8180
10224
12269

Sources: Home Ventilating Institute, How much ventilation do I need?; Home Ventilating Institute, Bathroom ventilation; ACCA Manual S sizing limits (Contracting Business, An Introduction to ACCA Manual S). Checked 2026-10-08.

Key takeaways
  • CFM = room volume × air changes per hour ÷ 60. ACH = CFM × 60 ÷ room volume. Same formula, either direction.
  • System airflow is about 400 cfm per ton of cooling: 1,200 cfm for a 3-ton unit.
  • Bathroom fans: 1 cfm per sq ft up to 100 sq ft, 50 cfm minimum. Range hoods: 100 cfm per foot of width on a wall, 150 over an island.

The CFM formula and the ACH formula

CFM is cubic feet of air per minute. Air changes per hour (ACH) is how many times that airflow would replace all the air in a room in an hour. They are the same idea in two units, joined by the room volume.

CFM = length × width × height × ACH ÷ 60

ACH = CFM × 60 ÷ (length × width × height)

The 60 turns minutes into hours. Volume is in cubic feet.

StepCFM from ACHACH from CFM
Room14 × 12 × 10 ft14 × 12 × 10 ft
Volume1,680 cu ft1,680 cu ft
Known6 ACH168 cfm
Math1,680 × 6 ÷ 60168 × 60 ÷ 1,680
Answer168 cfm6 ACH

Air changes are the right tool for ventilation and exhaust: clearing smoke, moisture, odors or fumes from a room. They are the wrong tool for sizing heating and cooling airflow to a room. That airflow comes from the room's heat gain and loss, which depends on its windows, walls and exposure, not its volume. For that, start with the load calculator.

CFM per ton: system airflow

One ton of cooling is 12,000 Btu/h. Most air conditioners and heat pumps are designed to move about 400 cfm across the coil for each ton.

TonsBtu/h350 cfm/ton400 cfm/ton450 cfm/ton
1.518,000525600675
224,000700800900
2.530,0008751,0001,125
336,0001,0501,2001,350
3.542,0001,2251,4001,575
448,0001,4001,6001,800
560,0001,7502,0002,250

Lower airflow per ton keeps the coil colder, so it pulls more moisture out of the air. That helps in humid climates. Higher airflow gives more sensible cooling and suits dry climates. The equipment maker's expanded performance tables show the real sensible and latent capacity at each airflow; Manual S has you check those against the load rather than trusting a rule.

Each room then gets its share: room cfm = room load ÷ house load × system cfm. A bedroom that is 8% of the load on a 1,200 cfm system gets 96 cfm. The duct size calculator turns that into a duct size.

Heating airflow on a furnace is set differently, by the temperature rise the furnace is rated for. It is often lower than the cooling airflow. Check the rise range on the furnace's label.

Bathroom exhaust fan size

The Home Ventilating Institute (HVI) sets out the sizing most contractors use. A fan you switch on should move at least 50 cfm; a fan that runs all the time can do the job at 20 cfm or more. Local code may set its own minimums, so check them too.

Right size. HVI recommends 1 cfm per sq ft of floor for bathrooms up to 100 sq ft with 8 ft ceilings, and never under 50 cfm. For bigger bathrooms, size by fixture: 50 cfm each for a toilet, a shower and a tub, and 100 cfm for a jetted tub. An enclosed toilet room gets its own fan.

BathroomFloor areaFan
5 × 7 ft35 sq ft50 cfm (the minimum)
5 × 8 ft40 sq ft50 cfm
6 × 10 ft60 sq ft60 cfm
8 × 10 ft80 sq ft80 cfm
10 × 10 ft100 sq ft100 cfm
12 × 12 ft, toilet, shower, jetted tub144 sq ft50 + 50 + 100 = 200 cfm
Rated cfm is not delivered cfmFans are rated at a set static pressure. A long run, a crushed duct or a 3 in duct on a fan made for 4 in can cut the real airflow by half. Use smooth duct as short and straight as you can, and match the fan's duct size.

Picking the fan once you know the CFM

The cfm from this calculator is what the fan has to deliver installed, against the resistance of its duct, damper and cap. Fan ratings are taken at a set static pressure, and real installs often have more. So:

  • Read the fan curve. HVI-certified fans publish airflow at more than one static pressure. Pick a fan that delivers your target at the pressure your duct run will have, not only at the lowest rating point.
  • Keep the duct short and smooth. Every elbow and every foot of flex adds resistance. A straight, short run of smooth duct to a roof or wall cap with a damper sized to match does more than a bigger fan on a bad run.
  • Mind the noise. A fan that is too loud gets switched off. Sones ratings let you compare; quieter fans tend to get used.
  • Use controls. A timer or humidity sensor that keeps the bath fan running after a shower clears moisture the switch-off-on-exit habit leaves behind. HVI recommends running bathroom ventilation at least 20 minutes after each use.

Range hood CFM

HVI recommends sizing a range hood by width: 100 cfm per linear foot for a hood against a wall, and 150 cfm per foot for an island hood, where cross drafts pull smoke away from it. Its floor is 40 cfm per foot on a wall and 50 over an island. Vent the hood outside: HVI notes that recirculating hoods provide no actual ventilation.

Hood widthWall hoodIsland hood
30 in250 cfm375 cfm
36 in300 cfm450 cfm
42 in350 cfm525 cfm
48 in400 cfm600 cfm

Large hoods often need makeup air under local code: a way for outdoor air to come in to replace what the hood pulls out. Without it a big hood can starve itself, rattle doors and, in a house with a gas water heater or furnace, pull exhaust back down a flue. Check with the building department before quoting a large hood.

Measuring airflow in the field

The math tells you what a room or system should move. A measurement tells you what it does. The common ways, from quick to precise:

  • Flow hood at the register or grille. The hood captures the air from one opening and reads cfm directly. Use it to balance rooms and to measure a bath fan at its grille, then compare against the target from this calculator.
  • Anemometer and area. Measure the average air speed across a grille in feet per minute and multiply by its free area in square feet. Rough, because grilles do not flow evenly, but useful without a hood.
  • Static pressure and the blower table. Measure total external static pressure across the air handler and read the airflow off the maker's fan table at that pressure and speed tap. This is the quickest system airflow check on a service call.
  • Temperature rise. On a furnace, the temperature rise across the heat exchanger together with the firing rate gives the airflow. It should land inside the rise range on the label.

When the measured system airflow comes in well under 400 cfm per ton, the usual causes are a dirty filter or coil, undersized returns, or a blower set to the wrong speed. Each one costs capacity and efficiency. Put the reading and the fix on the estimate, so the homeowner sees why the work matters.

Three kinds of airflow, three different sizes

Most mix-ups with CFM come from using one kind of airflow to size another. Keep them separate:

AirflowWhat sets itTypical size
Heating and coolingThe room's load and the system's cfm per tonHundreds of cfm per room
Spot exhaust (bath, kitchen)Room size, fixtures, hood width50 to a few hundred cfm, while in use
Whole-house ventilationFloor area (HVI: 5 cfm per 100 sq ft)About 100 cfm for 2,000 sq ft, all the time

Heating and cooling airflow recirculates house air; it does not ventilate. Exhaust fans remove air from one room while they run. Whole-house ventilation trades indoor air for outdoor air steadily, often through a heat or energy recovery ventilator. A tight new house needs all three, and each is sized on its own terms.

How many air changes a room needs

There is no single right ACH for a room. For the whole house, HVI recommends continuous ventilation of about 0.35 air changes per hour, which it simplifies to 5 cfm per 100 sq ft of floor. For a 2,000 sq ft house, that is 100 cfm running all the time.

Air changes are useful when a job comes with a target, such as clearing a room after painting, sizing an exhaust for a workshop, or meeting a spec for a commercial space. Put the target in and the calculator gives the cfm. Going the other way, measure the airflow at a fan or register with a flow hood, put in the room size, and the calculator tells you the air changes you are getting.

Once you know the fan or the airflow, add it to an estimate in Koira: the fan, the duct run, the roof or wall cap and your labor, each as its own line.

Last checked October 8, 2026. More for your trade: how HVAC companies run on Koira.

FAQ

How do I calculate CFM for a room?

Multiply length × width × height for the volume in cubic feet, multiply by the air changes per hour you want, and divide by 60. A 14 × 12 × 10 ft room at 6 ACH needs 1,680 × 6 ÷ 60 = 168 cfm.

How do I calculate air changes per hour?

Multiply the airflow in cfm by 60 and divide by the room volume in cubic feet. 168 cfm in a 1,680 cu ft room is 6 ACH.

How many CFM per ton of AC?

About 400 cfm per ton is the usual design airflow. Humid climates often run closer to 350 to remove more moisture; dry climates up to about 450. A 3-ton system moves about 1,200 cfm.

What size bathroom fan do I need?

HVI recommends 1 cfm per sq ft for bathrooms up to 100 sq ft, with a 50 cfm minimum. An 8 × 10 bathroom needs 80 cfm. Over 100 sq ft, add 50 cfm per toilet, shower or tub and 100 per jetted tub.

How many CFM does a range hood need?

HVI recommends 100 cfm per foot of hood width against a wall and 150 over an island: 250 cfm for a 30 in wall hood. Its floor is 40 cfm per foot on a wall.

When does a range hood need makeup air?

Many local codes require makeup air for large kitchen exhausts. Check with the building department before quoting a big hood.

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CFM Calculator: Room CFM, Air Changes per Hour, Fan Sizing | Koira