Formula
Cubic meters per hour = Cubic feet per minute × 1.6990107955166Direct answer
Multiply the entered cubic feet per minute value by 1.6990107955166 to express it in cubic meters per hour (m³/h). This converts cubic foot per minute (cfm) to cubic meter per hour (m³/h) within the documented flow rate family.
Variables and formula
- Cubic feet per minute (cfm): the source value measured in cubic foot per minute.
- Cubic meters per hour (m³/h): the same quantity expressed in cubic meter per hour.
- Conversion factor: 1.6990107955166 cubic meters per hour per cubic foot per minute.
Cubic meters per hour = Cubic feet per minute × 1.6990107955166
The generator emits numeric factors with at most 15 significant digits. Calculator results keep up to 10 significant digits for display; this formatting does not increase the precision of the measurement.
Unit definitions and named variants
Source unit: cubic foot per minute (cfm). One cubic international foot per minute equals exactly 28.316846592 litres per minute. Named variant used: International-foot volume; actual volumetric flow unless another condition is explicitly stated. Reference: National Institute of Standards and Technology: NIST Guide to the SI, Appendix B.9: Factors for Units Listed by Kind of Quantity or Field of Science; National Institute of Standards and Technology: NIST Handbook 44 (2026), Appendix C: General Tables of Units of Measurement.
Target unit: cubic meter per hour (m³/h). One cubic metre is exactly 1000 litres and one hour is exactly 60 minutes, so 1 m³/h = 1000/60 L/min. Named variant used: Volumetric flow; no standard-condition normalization. Reference: Bureau International des Poids et Mesures: The International System of Units (SI), 9th edition, version 4.01.
The cfm-to-m³/h direction remains inside the flow rate quantity; it changes the unit label and numerical scale, not the kind of quantity being measured.
Relationship and precision
This route uses at least one deliberately preserved rounded factor. Treat the displayed factor as an approximation at the precision documented below.
- cfm relationship: The terminating factor is exact because the international foot is exactly 0.3048 m and the litre is exactly 10^-3 m³.
- m³/h relationship: The preserved base factor is a rounded decimal representation of the exact ratio 50/3 L/min.
To audit the factor through the family base unit, divide the raw dataset factors 28.316846592 by 16.6666666667. The generator emits that quotient once at 15 significant digits as the canonical direct factor 1.6990107955166; runtime calculations do not divide the already-emitted base factors again.
Reproducible example
For 10 cubic feet per minute, 10 × 1.6990107955166 = 16.990107955166 cubic meters per hour. Repeating the same multiplication with the stated factor reproduces the displayed conversion before interface rounding.
Directional scale check
Because one cubic foot per minute contains 1.6990107955166 cubic meters per hour, the target number is larger than the source number for every positive input. Zero maps to zero, while negative inputs are rejected because this family models non-negative magnitudes.
| Source amount | Calculation | Target amount |
|---|---|---|
| 1 cfm | 1 × 1.6990107955166 |
1.6990107955166 m³/h |
| 10 cfm | 10 × 1.6990107955166 |
16.990107955166 m³/h |
| 100 cfm | 100 × 1.6990107955166 |
169.90107955166 m³/h |
| 1000 cfm | 1000 × 1.6990107955166 |
1699.0107955166 m³/h |
Interpretation
Read the result as cubic meters per hour, not cubic feet per minute. A value entered as cfm leaves the calculator labelled m³/h; this directional distinction matters even when the two units describe the same flow rate quantity.
Assumptions and limitations
- Only non-negative flow magnitudes are accepted; direction is outside this family.
- Cubic foot per minute uses the international foot, not a legacy survey-foot volume.
- Gas flows quoted at standard or actual conditions require temperature and pressure normalization that this unit-only converter does not perform.
Common mistakes
- Do not use a legacy survey-foot volume.
- The cubic exponent applies to metre, not hour.
Continue within the Flow Rate family
See the Flow Rate conversion hub for its five-unit reference table and all 20 directed routes.
- Reverse the direction: Cubic meters per hour to Cubic feet per minute
- Compare another flow rate route: Cubic feet per minute to Liters per minute
- Compare another flow rate route: Cubic feet per minute to Liters per second
- Compare another flow rate route: Cubic feet per minute to US gallons per minute
- Compare another flow rate route: Cubic meters per hour to Liters per minute
Assumptions
- The entered value uses cubic feet per minute exactly as labelled.
- Only non-negative flow magnitudes are accepted; direction is outside this family.
- Rounding and measurement uncertainty remain the user's responsibility.
Sources and methodology
CalcMotive publishes the formula and assumptions so you can decide whether the estimate fits your use case. See our methodology standards.
- The International System of Units (SI), 9th edition, version 4.01; Bureau International des Poids et Mesures; accessed Aug 7, 2026
- NIST Guide to the SI, Appendix B.9: Factors for Units Listed by Kind of Quantity or Field of Science; National Institute of Standards and Technology; accessed Aug 7, 2026
- NIST Handbook 44 (2026), Appendix C: General Tables of Units of Measurement; National Institute of Standards and Technology; accessed Aug 7, 2026