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With room length 16 ft, room width 12 ft, ceiling height 8 ft, cfm comes to 102 CFM — airflow needed. It is reached in 4 steps, the last of which is (1536 * 4) / 60, and each one is printed on the page with its numbers filled in. The formula is the one published by ASHRAE Standard 62.2, not an approximation fitted to it.

Cubic feet per minute a room needs, from its volume and how many times an hour the air has to be changed.

Formula and sources checked · How we check

Room length 16 ft, Room width 12 ft, Ceiling height 8 ft, What the room is Living room or bedroom — 4 changes/hour

102 CFM

Airflow needed for the example below. Editing a field recomputes the calculator below; this figure holds the answer the page was loaded with.

It is written into the HTML rather than drawn by a script, so a search engine reading this page without running JavaScript still finds an answer.

Airflow needed
102 CFM
Room volume
16 * 12 * 81,536 cu ft
Airflow needed
(1536 * 4) / 60102.4 CFM
Bathroom rule of thumb, 1 CFM per sq ft
max(50, 16 * 12)192 CFM
Through a 6 in duct at 700 ft/min
102.4 / 1370.747 ducts

Ask about this in the chatCFM by Room Size Chart

Worked example

A 16 × 12 ft living room with an 8 ft ceiling holds 1,536 cubic feet. Four changes an hour is 6,144 cubic feet an hour, or 102 CFM. A 6 in duct carries about 137 CFM at ordinary velocity, so one run does it.

How to work it out yourself

  1. 1.Multiply length by width by ceiling height for the volume in cubic feet.
  2. 2.Multiply by the air changes per hour the room is for.
  3. 3.Divide by 60 — the answer is per minute, the change rate is per hour.
  4. 4.For a bathroom, compare against the simpler rule of one CFM per square foot with a 50 CFM floor, and fit whichever is larger.

CFM for a room 8 ft high by floor area

076.8153.68 Room length: 51.2 CFM10 Room length: 64 CFM12 Room length: 76.8 CFM16 Room length: 102.4 CFM20 Room length: 128 CFM24 Room length: 153.6 CFM824Room length (ft)
CFM for a room 8 ft high by floor area
Room length (ft)Airflow neededRoom volumeBathroom rule of thumb, 1 CFM per sq ft
851 CFM768 cu ft96 CFM
1064 CFM960 cu ft120 CFM
1277 CFM1,152 cu ft144 CFM
16102 CFM1,536 cu ft192 CFM
20128 CFM1,920 cu ft240 CFM
24154 CFM2,304 cu ft288 CFM

Length in feet at a fixed 12 ft width and 8 ft ceiling, at four air changes an hour.

The formula

  1. Room volume16 * 12 * 8
  2. Airflow needed(1536 * 4) / 60
  3. Bathroom rule of thumb, 1 CFM per sq ftmax(50, 16 * 12)
  4. Through a 6 in duct at 700 ft/min102.4 / 137

Source: ASHRAE Standard 62.2 — ventilation in residential buildings, US EPA — indoor air quality

Questions people actually ask

How do you calculate CFM for a room?
Volume times air changes per hour, divided by 60. A 1,536 cubic foot room at four changes an hour needs 102 CFM. The division by 60 is the step people miss: the change rate is per hour and the answer is per minute.
What CFM does a bathroom fan need?
One CFM per square foot, never less than 50 — so a 6 × 9 ft bathroom takes a 54 CFM fan and a small one still takes 50. A bath with a shower over it is usually specified at 8 air changes an hour instead, which for the same room comes out higher, and the larger figure is the one to fit.
What are air changes per hour?
How many times the whole volume of air in the room is replaced in an hour. Four is comfortable for a living room, eight for a kitchen or bathroom where moisture and smells have to leave quickly, twelve where there are fumes. It is a rate, not a quantity, which is why a tall room needs more air than a short one of the same floor area.
Does duct size limit the CFM?
Yes, and it is the commonest reason a fan underperforms its box. Air moves at about 700 ft per minute in residential ducting, so a 6 in round duct carries roughly 137 CFM and a 4 in one about 60. A 110 CFM fan on 4 in flexible duct with two bends delivers a fraction of its rating.

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