1 · Room → minimum CADR
Enter room dimensions and pick a use case. The recommendation is always rounded up.
Recommended smoke CADR
Three rules, side by side
| Rule | Min CADR | ACH @ your ceiling | Honest note |
|---|
The ⅔ rule (5.0 ACH @ 8 ft) is the most conservative of the three; the AHAM seal (4.8 ACH) and the EPA table (4.875 ACH) are within 3% of each other. Always size by smoke CADR — the smallest-particle rating, and the strictest.
2 · ACH target solver
Pick a target air-change rate and get the CADR it demands: CADR = volume × ACH / 60.
CADR for your target ACH
3 · Inverse — CADR → max room size
You own a purifier. How big a room does its smoke CADR honestly cover?
Maximum room size
The AHAM-seal number is the official one for comparing certified models. The ⅔-rule inverse (CADR × 1.5) is shown for reference — it assumes a slightly stricter 5.0 ACH.
4 · ACH checker
Check a purifier you already own against your actual room.
Your actual ACH
5 · Ceiling-height adjuster
Vaulted or loft ceiling? Drag the slider — CADR need scales with volume (× ceiling / 8).
Ceiling adjustment
6 · Multi-unit planner
Two smaller purifiers beat one big one when placed at opposite ends. CADR adds up — enter up to 4 units.
Combined coverage
Assumes decent circulation: place units at opposite ends of the room, keep interior doors closed, and don't block airflow with curtains or furniture.
7 · Converter & manufacturer-claim translator
CFM ↔ m³/h and sq ft ↔ m², live. Plus: translate a brand's "covers X sq ft" claim into its true 5-ACH coverage.
Manufacturer-claim translator
Many brands advertise coverage at just 1–2 ACH. True 5-ACH coverage = claimed coverage × 0.4.
True coverage
A claim of "covers 1,000 sq ft" at ~2 ACH implies a smoke CADR of only ~333 CFM (2 × 1,000 × 8 / 60), which covers 400 sq ft at a proper 5 ACH. Always compare by smoke CADR, not by headline coverage.
How the math works
Transparent, primary-source model — every number above comes from these formulas:
The honest 3-way comparison (8-ft ceiling)
| Rule | Formula | ACH @ 8 ft | Source |
|---|---|---|---|
| ⅔ rule | area × ⅔ | 5.0 (exact) | Popular rule, attributed to AHAM |
| AHAM seal | CADR × 1.55 | 4.8 (4.84) | AHAM Verifide program documents |
| EPA table | area × 0.65 | 4.875 | EPA Guide to Air Cleaners in the Home |
All three agree within 3%. The ⅔ rule is the most conservative; this calculator rounds its result up and labels each rule's ACH honestly instead of pretending they are identical.
EPA sizing table (verbatim, 8-ft ceiling)
| Room area (sq ft) | 100 | 200 | 300 | 400 | 500 | 600 |
|---|---|---|---|---|---|---|
| Minimum CADR (CFM) | 65 | 130 | 195 | 260 | 325 | 390 |
EPA: "The CADRs are calculated based on an 8-foot ceiling. If you have higher ceilings, you may want to select a portable air cleaner with a higher CADR." For rooms off the table we use the same 0.65 CFM/sq ft ratio.
Wildfire, ceiling, and multi-unit notes
| Case | Rule | Example |
|---|---|---|
| Wildfire smoke | smoke CADR = room sq ft | 300 sq ft → 300 CFM = 7.5 ACH (EPA DIY-air-cleaner research) |
| High ceiling | CADR × (h / 8) | 400 sq ft, 10 ft: 260 × 1.25 = 325 CFM (conservative pick) |
| Multiple units | CADR adds up | 2 × 150 = 300 CFM covers 450 sq ft at 5.0 ACH |
| Conversions | 1 CFM = 1.699 m³/h | 200 CFM = 339.8 m³/h |
Worked examples
| Room | ⅔-rule min | EPA equiv. | Pick |
|---|---|---|---|
| Bedroom 12×15×8 ft (180 sq ft) | 120 CFM | 117 CFM | 120 CFM |
| Living room 20×20×8 ft (400 sq ft) | 267 CFM | 260 CFM (table) | 267 CFM |
| Open plan 20×30×8 ft (600 sq ft) | 400 CFM | 390 CFM (table) | 400 CFM |
| Wildfire: 300 sq ft bedroom | 200 CFM | 195 CFM | 300 CFM (7.5 ACH) |
| 400 sq ft, 10-ft ceiling | 267 CFM | 260×1.25 = 325 CFM | 325 CFM |
| Two 150-CFM units, 450 sq ft | 300 CFM | 292.5 CFM | 5.0 ACH ✓ |
Examples computed with the same engine as the calculators above — change any input and re-run to verify.
Boundary: what this tool is not
| Related tool | Its job | Why this tool is different |
|---|---|---|
| Bathroom fan (CFM) | Exhausts air outdoors | A purifier recirculates and filters indoor air — it is not an exhaust |
| Range hood (CFM) | Kitchen exhaust + makeup air | No makeup-air or venting math here; purifiers move no air outside |
| Relative humidity | Moisture in air | HEPA filtration neither adds nor removes humidity |
| AC room size | Thermal cooling load (BTU) | ACH here = filtered air changes, not cooling capacity |