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Cubic Feet/hour to Cubic Meters/hour Converter (ft³/h to m³/h)

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Live Conversion • ISO 80000-4:2019 Certified
1 Cubic foot/hour = 0.028316847 Cubic meter/hour
1 ft³/h = 0.0283168 m³/h • 1 m³/h = 35.314667 ft³/h
Cubic foot/hour to Cubic meter/hour: One Cubic foot/hour is equal to 0.028316847 Cubic Meters/hour.
Certified Authority Value
0.02831685
m³/h
Exact: 1 m³/h ≡ 35.3146667215 ft³/h
ft³/h
ft³/h
Swap to Cubic meter/hour to Cubic foot/hour
Swap to Cubic meter/hour to Cubic foot/hour
m³/h
m³/h 0.028316847
Quick Values:
Conversion Formula
To convert Cubic foot/hour to Cubic meter/hour, multiply by 0.028316847
ft³/h × 0.028316847 = m³/h

Calculation: 1 ft³/h × 0.028316847 = 0.028316847 m³/h

Common Cubic foot/hour to Cubic meter/hour Calculations

Quick-lookup reference table showing calculated equivalents for standard increments between Cubic foot/hour (ft³/h) and Cubic meter/hour (m³/h).

Tap any row to calculate
Cubic foot/hour to Cubic meter/hour: Primary Direct Table (15 Steps)
Cubic foot/hour to Cubic meter/hour Conversion Reference Table
Conversion & Equivalent Value Scientific Notation
0.001 ft³/h 2.831685 × 10⁻⁵ m³/h 2.832 × 10⁻⁵
0.01 ft³/h 0.000283168 m³/h 2.832 × 10⁻⁴
0.1 ft³/h 0.00283168 m³/h 2.832 × 10⁻³
0.5 ft³/h 0.0141584 m³/h 1.416 × 10⁻²
1 ft³/h 0.0283168 m³/h 2.832 × 10⁻²
2 ft³/h 0.0566337 m³/h 5.663 × 10⁻²
5 ft³/h 0.141584 m³/h 1.416 × 10⁻¹
10 ft³/h 0.283168 m³/h 2.832 × 10⁻¹
20 ft³/h 0.566337 m³/h 5.663 × 10⁻¹
25 ft³/h 0.707921 m³/h 7.079 × 10⁻¹
50 ft³/h 1.415842 m³/h 1.416 × 10⁰
100 ft³/h 2.831685 m³/h 2.832 × 10⁰
250 ft³/h 7.079212 m³/h 7.079 × 10⁰
500 ft³/h 14.158423 m³/h 1.416 × 10¹
1000 ft³/h 28.316847 m³/h 2.832 × 10¹
Cubic meter/hour to Cubic foot/hour: Reciprocal Summary
Cubic meter/hour to Cubic foot/hour Conversion Reference Table
Reciprocal & Equivalent Value Scientific Notation
1 m³/h 35.314667 ft³/h 3.531 × 10¹
5 m³/h 176.573334 ft³/h 1.766 × 10²
10 m³/h 353.146667 ft³/h 3.531 × 10²
50 m³/h 1765.733336 ft³/h 1.766 × 10³
100 m³/h 3531.466672 ft³/h 3.531 × 10³
View Complete 15-Row Cubic meter/hour to Cubic foot/hour Table

Real-World Context & Everyday Benchmarks

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To help contextualize these units in everyday life, science, and engineering, here are verified real-world reference points for Cubic foot/hour (ft³/h) and Cubic meter/hour (m³/h):

Cubic foot/hour References:

  • Residential natural gas home heating furnace fuel consumption rate (80 cu ft/h) 80 cu ft/h

Cubic meter/hour References:

  • Municipal street fire hydrant flow test inspection discharge capacity 200 m³/h
  • Residential swimming pool diatomaceous earth filtration pump circulation 15 m³/h

Tap any benchmark above to automatically calculate its exact equivalent in Cubic meter/hour.

ISQ Dimension: [L³ T⁻¹] Coherent SI Unit: cubic meter per second (m³/s) Fluid Dynamics & Rheology

How to Convert Cubic foot/hour to Cubic meter/hour

Converting Cubic foot/hour (ft³/h) to Cubic meter/hour (m³/h) is a core calculation in Volumetric Flow Rate, which quantifies the volume of fluid passing through a designated conduit cross-section per unit of time. This calculation navigates the boundary between the International Metric System (SI) and British Imperial / US Customary engineering standards. In contemporary metrology, Imperial units are defined in terms of exact SI standards via international agreements—notably NIST SP 811 and the 1959 International Yard and Pound Agreement. Exactly 1 Cubic foot/hour equals 0.0283168 Cubic meter/hour, while 1 m³/h equals 35.314667 ft³/h.

Direct Factor1 ft³/h = 0.0283168 m³/h
Inverse Ratio1 m³/h = 35.314667 ft³/h
Conversion ScaleMetric SI to British Imperial / US Customary Bridge
First-Principles SI Derivation ProofNIST SP 811 / ISO 80000 Compliance

Mathematical Conversion Derivation via Coherent SI Base Unit

Under the International System of Quantities (ISQ), dimensional conversion between non-SI units is rigorously resolved by bridging through the coherent SI base unit (cubic meter per second (m³/s)) without arbitrary rounding:

Vtarget=Vsource×(ksource→SIktarget→SI)V_{\text{target}} = V_{\text{source}} \times \left( \frac{k_{\text{source} \to \text{SI}}}{k_{\text{target} \to \text{SI}}} \right)
Universal Dimensional Conversion Law (ISO 80000 / NIST SP 811)
1. Source SI Bridge (ksource):1 ft³/h = 7.865791 × 10⁻⁶ cubic meter per second (m³/s)
2. Target SI Bridge (ktarget):1 m³/h = 0.000277778 cubic meter per second (m³/s)
Step-by-step substitution for Cubic foot/hour → Cubic meter/hour:V(m³/h) = V(ft³/h) × ( 7.865791 × 10⁻⁶ / 0.000277778 ) = V(ft³/h) × 0.0283168
Mathematical FormulaValue in Cubic meter/hour = Value in Cubic foot/hour × 0.028316847Direct computational formula applied for standard conversion.
Worked Example

To convert 120 Cubic foot/hour (ft³/h) to Cubic meter/hour (m³/h): multiply 120 by 0.0283168 to get 3.398022 m³/h. At an industrial engineering scale, 100 ft³/h converts to 2.831685 m³/h.

Inverse check: 1 m³/h = 35.314667 ft³/h.

Understanding Cubic foot/hour and Cubic meter/hour

Cubic foot/hour

ft³/h
Imperial / US

A Cubic foot/hour (ft³/h) is an imperial and US customary unit for volumetric flow rate.

Applications & Practical Context

In practical flow terms, a residential natural gas home heating furnace fuel consumption rate (80 cu ft/h) equals 80 cu ft/h.

Physical Setup

A physical magnitude of 1 ft³/h corresponds to 7.865791 × 10⁻⁶ m³/s in standard SI measurement.

Conversion to SI Unit: cubic meter per second (m³/s)
1 ft³/h = 7.865791 × 10⁻⁶ m³/s

Cubic meter/hour

m³/h
Standard Unit

A Cubic meter/hour (m³/h) is a recognized unit for volumetric flow rate.

Applications & Practical Context

In practical flow terms, a municipal street fire hydrant flow test inspection discharge capacity equals 200 m³/h, a residential swimming pool diatomaceous earth filtration pump circulation equals 15 m³/h.

Physical Setup

A physical magnitude of 1 m³/h corresponds to 0.000277778 m³/s in standard SI measurement.

Conversion to SI Unit: cubic meter per second (m³/s)
1 m³/h = 0.000277778 m³/s

Domain Metrology & Engineering Applications

Governing Law & Equation

Hydrodynamic Continuity Equation (Q = A · v̄)

Measurement Instrumentation

Rigorously quantified in laboratory and field settings using electromagnetic inductive flowmeters, ultrasonic transit-time meters, turbine flowmeters, and differential orifice plates.

Primary Industry Sectors

Applied across municipal water supply distribution, chemical process loops, oil & gas pipeline custody transfer, and HVAC hydronic balancing under international metrology standard ISO 80000-4:2019, ASME MFC-3M.

Physical Orders of Magnitude & Laboratory Reference Benchmarks

Physical Phenomenon / Engineering ReferenceReference ValueConverted to Cubic meter/hour
Residential natural gas home heating furnace fuel consumption rate (80 cu ft/h)80 cu ft/h2.265348 m³/h
Institutional Metrology & Standard Authority:

Formulas, conversion coefficients, and base definitions on this page strictly adhere to the ISO 80000-4:2019, ASME MFC-3M and the BIPM SI Brochure (9th Edition). Governed by Hydrodynamic Continuity Equation (Q = A · v̄) under ISO 80000 dimensional vector [L³ T⁻¹].

Multi-Variable Engineering Bridge Fluid Continuity & Mass Flux

Volumetric to Mass Flow Continuity Bridge (kg/s • kg/h • lb/s • lb/h • t/h • g/s)

Convert volumetric flow rate (Q) directly into physical mass flow rate (ṁ) across process fluids using the continuity relation ṁ = ρ × Q, bridging volume flow [L³ T⁻¹] and mass flow [M T⁻¹] via density (ρ).

ṁ = ρ × Q
Vector: [m³/s] × [kg/m³] → [kg/s]
Live Calculated Bridge Equivalent:
1 ft³/h at Water (20°C / Standard Ambient) = 0.007852 kg/s
Equals 28.2659 kg/h • 0.01731 lb/s • 62.32 lb/h
SI Mass Flow
0.007852
kg/s
Kilograms per Second
Industrial Process
28.2659
kg/h
Kilograms per Hour
US Mass Flow
0.01731
lb/s
Pounds per Second
Boiler / Turbine Rating
62.32
lb/h
Pounds per Hour
Heavy Plant Header
0.02827
t/h
Metric Tons per Hour
Chemical / Laboratory
7.8516
g/s
Grams per Second
  1. 1. Normalize Input to SI Base Unit (m³/s):
    Q = 1 ft³/h × 7.86579072 × 10⁻⁶ = 7.86579072 × 10⁻⁶ m³/s
  2. 2. Apply Engineering Parameter (ρ):
    Selected condition: Water (20°C / Standard Ambient) at ρ = 998.2 kg/m³
  3. 3. Execute Governing Physical Law in SI Units:
    ṁ = ρ × Q = (7.86579072 × 10⁻⁶ m³/s) × (998.2 kg/m³) = 0.00785163 kg/s
  4. 4. Convert to Standard Engineering Units:
    • kg/s: 0.00785163 × 1 = 0.007852 kg/s (Kilograms per Second) • kg/h: 0.00785163 × 3600 = 28.2659 kg/h (Kilograms per Hour) • lb/s: 0.00785163 × 2.2046 = 0.01731 lb/s (Pounds per Second) • lb/h: 0.00785163 × 7936.6414 = 62.32 lb/h (Pounds per Hour) • t/h: 0.00785163 × 3.6 = 0.02827 t/h (Metric Tons per Hour) • g/s: 0.00785163 × 1000 = 7.8516 g/s (Grams per Second)
Explore Full Density Converter →
Engineering Substance / Operating Standard Parameter Value (kg/m³) Reference State / Condition Typical Industrial & Engineering Application
Water (20°C / Standard Ambient) 998.2 998.2 kg/m³ HVAC hydronic & cooling water
Diesel Fuel (EN 590 / 20°C) 832 832.0 kg/m³ Generator & marine diesel consumption
Gasoline / Petrol (15°C) 740 740.0 kg/m³ Automotive fuel injection lines
Hydraulic Fluid (ISO VG 46) 870 870.0 kg/m³ Hydraulic power pack pumps
Air (Standard Ambient / NTP 20°C) 1.204 1.204 kg/m³ HVAC ductwork & compressor air
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Frequently Asked Questions

There are exactly 0.028316847 cubic meters/hour (m³/h) in 1 cubic foot/hour (ft³/h). To calculate larger amounts manually, simply multiply your total number of cubic feet/hour by the conversion multiplier of 0.028316847.

The mathematical formula to convert cubic feet/hour to cubic meters/hour is: [value] * 0.028316847 = cubic meters/hour. Rather than doing the math manually, you can use our high-precision online calculator to process this exact equation instantly without rounding errors.

To perform the reverse calculation from cubic meters/hour back to cubic feet/hour, you must divide your starting value by 0.028316847. Our bidirectional tool automatically computes this inverse equation the moment you type into the cubic meter/hour input field.

1 Cubic meter/hour is larger than 1 Cubic foot/hour. Specifically, 1 Cubic foot/hour equals 0.028316847 cubic meters/hour, meaning 1 Cubic meter/hour is 35.3147 times larger than 1 Cubic foot/hour (a difference of 1.55 orders of magnitude). Expressing measurements in cubic feet/hour requires a larger numerical value to represent the equivalent physical magnitude.

A typical residential natural gas home heating furnace fuel consumption rate (80 cu ft/h) measures 80 cu ft/h, which corresponds to 2.2653 Cubic Meter Per Hour (Cubic meter/hour).

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