Ever needed to compare a ventilation system’s performance in the U.S. with a European specification? The mismatch between cubic feet per second (ft³/s) and cubic meters per hour (m³/h) can stall projects, confuse reports, and waste time. This guide clears the fog, giving you the exact factor, a quick formula, and real‑world examples so you can convert confidently.
Understanding the Measure: Volume Flow Rate
Volume flow rate tells us how much space a fluid occupies as it moves through a pipe or duct each second, minute, or hour. It’s a core concept in HVAC, water‑resource engineering, and process industries. Two common units are:
Cubic Foot Per Second (ft³/s)
One cubic foot per second means that every second, a volume equal to a cube 1 ft on each side passes a point. It’s the standard in many U.S. engineering specifications.
Cubic Meter Per Hour (m³/h)
One cubic meter per hour represents the volume of a cube 1 m on each side moving past a point in one hour. This metric unit is favored worldwide for its compatibility with the International System of Units (SI).
Exact Conversion Factor
The relationship is fixed by the definitions of the foot and the meter:
- 1 ft = 0.3048 m
- 1 ft³ = (0.3048)³ m³ = 0.028316846592 m³
Because there are 3 600 seconds in an hour, the factor from ft³/s to m³/h is:
1 ft³/s = 0.028316846592 m³ × 3 600 = 101.9406 m³/h
In formula form:
m³/h = ft³/s × 101.9406
Step‑by‑Step Worked Example
Suppose a laboratory exhaust fan is rated at 3 ft³/s. To compare it with a European spec in m³/h:
- Write down the factor: 101.9406 m³/h per ft³/s.
- Multiply: 3 ft³/s × 101.9406 = 305.8218 m³/h.
- Round to a sensible precision (four decimal places): 305.8218 m³/h.
The fan moves roughly 306 m³ of air each hour—information you can now share with any international partner.
Practical Applications
- HVAC design: Convert duct flow rates to match equipment data sheets from different regions.
- Water treatment: Align pump capacities expressed in ft³/s with municipal standards in m³/h.
- Process engineering: Translate gas‑flow specifications for cross‑border projects.
- Energy auditing: Compare ventilation performance metrics in a unified unit for reporting.
Cubic Foot Per Second to Cubic Meter Per Hour Conversion Table
Each row applies the same rule: multiply cubic feet per second by 101.9406 to obtain cubic meters per hour.
| Cubic Foot Per Second (ft³/s) | Cubic Meter Per Hour (m³/h) |
|---|---|
| 1 ft³/s | 101.9406 m³/h |
| 2 ft³/s | 203.8812 m³/h |
| 5 ft³/s | 509.7030 m³/h |
| 10 ft³/s | 1,019.4060 m³/h |
| 20 ft³/s | 2,038.8120 m³/h |
| 50 ft³/s | 5,097.0300 m³/h |
| 100 ft³/s | 10,194.0600 m³/h |
| 500 ft³/s | 50,970.3000 m³/h |
Key Takeaway & Next Steps
The conversion is straightforward: multiply by 101.9406. Keep the factor handy, apply it to any flow‑rate figure, and you’ll bridge the U.S.–metric gap instantly. Need a custom calculator or a quick reference sheet? Download our free Volume Flow Rate cheat sheet and stay conversion‑ready.