Air Purifier Sizing: CADR, ACH, and Room Volume Explained

Last updated May 20, 2026 · 7 min read

Buying an air purifier without understanding CADR is like buying a heater without understanding BTUs — you can spend $500 and still under-cool the room. This guide explains what the numbers on the box actually mean, the EPA's recommended math, and how to match a purifier to your bedroom or living room without overspending.

The three numbers that matter

CADR (Clean Air Delivery Rate)

CADR is a measurement, in cubic feet per minute (CFM), of how much purified air the unit actually delivers — combining filter efficiency with airflow. It's tested and certified by the Association of Home Appliance Manufacturers (AHAM) in their Verifide program. Purifiers report three CADR values: smoke (the smallest particles), pollen (largest), and dust (medium). For wildfire smoke and PM2.5, the smoke CADR is the number to watch.

A label that says "CADR 250" means: at the highest speed, this unit moves the equivalent of 250 cubic feet of fully-cleaned air into the room every minute. The CADR you get at lower fan speeds is lower — typically 30–50% of the rated maximum.

ACH (Air Changes per Hour)

ACH is what you actually care about for indoor air quality. It's how many times per hour the purifier moves the equivalent of the room's full air volume through its filter. EPA recommendations for smoke events are:

Room volume

The third input. Computed as length × width × ceiling height. Most U.S. residential rooms have 8-foot ceilings; rooms with vaulted ceilings need higher CADR for the same floor area.

The sizing math

The relationship is mechanical and easy:

CADR (CFM) × 60 ÷ Room volume (ft³) = ACH

Or, to find the CADR you need: Target ACH × Room volume ÷ 60 = CADR (CFM)

So for a 12 ft × 14 ft bedroom with an 8-foot ceiling — volume 1,344 ft³ — and a target of 5 ACH:

5 × 1,344 ÷ 60 = 112 CFM smoke CADR required

That same room targeting 8 ACH (smoke event) needs:

8 × 1,344 ÷ 60 = 179 CFM smoke CADR required

That second number is what to shop with — and a critical detail: it's the rated CADR at the highest fan setting. If you don't want to run the purifier at "jet engine" volume 24/7, oversize: pick a unit with about 150% of the calculated CADR, then run it at a lower (quieter) speed for the same effective performance.

Quick reference table

Room sizeVolume (8-ft ceiling)Smoke CADR for 5 ACHSmoke CADR for 8 ACH
Small bedroom (10×12)960 ft³80128
Standard bedroom (12×14)1,344 ft³112179
Large bedroom (14×16)1,792 ft³149239
Living room (15×20)2,400 ft³200320
Great room (20×25)4,000 ft³333533
Math derived from CADR formula; ACH recommendations from EPA Guide to Air Cleaners in the Home.

The "two-thirds rule" shortcut

A useful back-of-envelope rule for matching purifiers to rooms: smoke CADR should be at least ⅔ the room's square footage for everyday use, and at least the room's full square footage for smoke events. So a 200-square-foot bedroom wants a smoke CADR of about 130 for daily use, 200 for a smoke week. This is just the formula above with 8-foot ceilings and 5/8 ACH baked in — easier to remember at the store.

Filter type — what to look for

What to avoid

Where to put it

Most people put the purifier in a corner against a wall and forget it. Better placement:

The cost picture

A budget purifier (~$100) with a smoke CADR around 100 covers a small bedroom at 5 ACH. A solid mid-range unit (~$200–300) gets you 200+ CADR for a standard bedroom at smoke-event ACH. The premium tier ($500+) covers great-rooms or delivers very quiet operation at lower speeds. Replacement filters cost $30–60 per year for typical use; carbon-included filters cost more.

For comparison, a DIY Corsi-Rosenthal box (a 20-inch box fan plus four MERV-13 furnace filters) produces a smoke CADR of 300–600 for under $100. See our dedicated DIY Corsi-Rosenthal Box guide for the build.

Know when to fire up the purifier

Smog Report shows real-time AQI worldwide with widgets and Live Activities. Free on iOS.

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Primary sources: EPA — Guide to Air Cleaners in the Home · AHAM Verifide CADR Directory · EPA — Wildfires and Indoor Air Quality