Skip to main content
0 results ↑ ↓ navigate, ↵ select

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

Rate this converter 0 of 0 ratings
Instant calculation with 0ms overhead
Popular Converters
Live Conversion • ISO 80000-4:2019 Certified
1 Cubic meter/hour = 35.31466672 Cubic foot/hour
1 m³/h = 35.314667 ft³/h • 1 ft³/h = 0.0283168 m³/h
Cubic meter/hour to Cubic foot/hour: One Cubic meter/hour is equal to 35.31466672 Cubic Feet/hour.
Certified Authority Value
35.31466672
ft³/h
Exact: 1 ft³/h ≡ 0.02831684659 m³/h
m³/h
m³/h
Swap to Cubic foot/hour to Cubic meter/hour
Swap to Cubic foot/hour to Cubic meter/hour
ft³/h
ft³/h 35.31466672
Quick Values:
Conversion Formula
To convert Cubic meter/hour to Cubic foot/hour, multiply by 35.31466672
m³/h × 35.31466672 = ft³/h

Calculation: 1 m³/h × 35.31466672 = 35.31466672 ft³/h

Common Cubic meter/hour to Cubic foot/hour Calculations

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

Tap any row to calculate
Cubic meter/hour to Cubic foot/hour: Primary Direct Table (15 Steps)
Cubic meter/hour to Cubic foot/hour Conversion Reference Table
Conversion & Equivalent Value Scientific Notation
0.001 m³/h 0.0353147 ft³/h 3.531 × 10⁻²
0.01 m³/h 0.353147 ft³/h 3.531 × 10⁻¹
0.1 m³/h 3.531467 ft³/h 3.531 × 10⁰
0.5 m³/h 17.657333 ft³/h 1.766 × 10¹
1 m³/h 35.314667 ft³/h 3.531 × 10¹
2 m³/h 70.629333 ft³/h 7.063 × 10¹
5 m³/h 176.573334 ft³/h 1.766 × 10²
10 m³/h 353.146667 ft³/h 3.531 × 10²
20 m³/h 706.293334 ft³/h 7.063 × 10²
25 m³/h 882.866668 ft³/h 8.829 × 10²
50 m³/h 1765.733336 ft³/h 1.766 × 10³
100 m³/h 3531.466672 ft³/h 3.531 × 10³
250 m³/h 8828.66668 ft³/h 8.829 × 10³
500 m³/h 17657.333361 ft³/h 1.766 × 10⁴
1000 m³/h 35314.666721 ft³/h 3.531 × 10⁴
Cubic foot/hour to Cubic meter/hour: Reciprocal Summary
Cubic foot/hour to Cubic meter/hour Conversion Reference Table
Reciprocal & Equivalent Value Scientific Notation
1 ft³/h 0.0283168 m³/h 2.832 × 10⁻²
5 ft³/h 0.141584 m³/h 1.416 × 10⁻¹
10 ft³/h 0.283168 m³/h 2.832 × 10⁻¹
50 ft³/h 1.415842 m³/h 1.416 × 10⁰
100 ft³/h 2.831685 m³/h 2.832 × 10⁰
View Complete 15-Row Cubic foot/hour to Cubic meter/hour Table

Real-World Context & Everyday Benchmarks

Tap to load into converter

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

Cubic foot/hour References:

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

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

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

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

Converting Cubic meter/hour (m³/h) to Cubic foot/hour (ft³/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 meter/hour equals 35.314667 Cubic foot/hour, while 1 ft³/h equals 0.0283168 m³/h.

Direct Factor1 m³/h = 35.314667 ft³/h
Inverse Ratio1 ft³/h = 0.0283168 m³/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 m³/h = 0.000277778 cubic meter per second (m³/s)
2. Target SI Bridge (ktarget):1 ft³/h = 7.865791 × 10⁻⁶ cubic meter per second (m³/s)
Step-by-step substitution for Cubic meter/hour → Cubic foot/hour:V(ft³/h) = V(m³/h) × ( 0.000277778 / 7.865791 × 10⁻⁶ ) = V(m³/h) × 35.314667
Mathematical FormulaValue in Cubic foot/hour = Value in Cubic meter/hour × 35.31466672Direct computational formula applied for standard conversion.
Worked Example

Converting 250 m³/h yields an exact output of 8828.66668 ft³/h in Cubic foot/hour. Under higher industrial throughput, 100 m³/h translates to 3531.466672 ft³/h.

Inverse check: 1 ft³/h = 0.0283168 m³/h.

Understanding Cubic meter/hour and Cubic foot/hour

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

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

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 foot/hour
Municipal street fire hydrant flow test inspection discharge capacity200 m³/h7062.933344 ft³/h
Residential swimming pool diatomaceous earth filtration pump circulation15 m³/h529.720001 ft³/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 m³/h at Water (20°C / Standard Ambient) = 0.2773 kg/s
Equals 998.2 kg/h • 0.6113 lb/s • 2200.65 lb/h
SI Mass Flow
0.2773
kg/s
Kilograms per Second
Industrial Process
998.2
kg/h
Kilograms per Hour
US Mass Flow
0.6113
lb/s
Pounds per Second
Boiler / Turbine Rating
2200.65
lb/h
Pounds per Hour
Heavy Plant Header
0.9982
t/h
Metric Tons per Hour
Chemical / Laboratory
277.2778
g/s
Grams per Second
  1. 1. Normalize Input to SI Base Unit (m³/s):
    Q = 1 m³/h × 0.00027778 = 0.00027778 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 = (0.00027778 m³/s) × (998.2 kg/m³) = 0.277278 kg/s
  4. 4. Convert to Standard Engineering Units:
    • kg/s: 0.277278 × 1 = 0.2773 kg/s (Kilograms per Second) • kg/h: 0.277278 × 3600 = 998.2 kg/h (Kilograms per Hour) • lb/s: 0.277278 × 2.2046 = 0.6113 lb/s (Pounds per Second) • lb/h: 0.277278 × 7936.6414 = 2200.65 lb/h (Pounds per Hour) • t/h: 0.277278 × 3.6 = 0.9982 t/h (Metric Tons per Hour) • g/s: 0.277278 × 1000 = 277.2778 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
Embed
Need this Cubic meter/hour to Cubic foot/hour calculator on your website, lab portal, or research blog?
Free HTML Widget 100% Responsive Zero Cookie Tracking
Notice a calculation discrepancy, rounding error, or glitch?
Help us maintain 100% scientific precision and report any issues directly to engineering.

Frequently Asked Questions

There are exactly 35.31466672 cubic feet/hour (ft³/h) in 1 cubic meter/hour (m³/h). To calculate larger amounts manually, simply multiply your total number of cubic meters/hour by the conversion multiplier of 35.31466672.

The mathematical formula to convert cubic meters/hour to cubic feet/hour is: [value] * 35.31466672 = cubic feet/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 feet/hour back to cubic meters/hour, you must divide your starting value by 35.31466672. Our bidirectional tool automatically computes this inverse equation the moment you type into the cubic foot/hour input field.

1 Cubic meter/hour is larger than 1 Cubic foot/hour. Specifically, 1 Cubic meter/hour equals exactly 35.31466672 cubic feet/hour, making it 35.3147 times larger (a difference of 1.55 orders of magnitude). Therefore, quantities expressed in cubic feet/hour require a larger numerical value to represent the same physical amount.

A typical municipal street fire hydrant flow test inspection discharge capacity measures 200 m³/h, which corresponds to 7062.9333 Cubic Foot Per Hour (Cubic foot/hour).

Physically Coupled Fluid Dynamics & Rheology Converters

Explore interconnected physical dimension converters within the Fluid Dynamics & Rheology cluster (ISO 80000-4:2019 / ISO 12572).

View Hub
Flow Mass Dimensional Hub & Tools
Mass Flux Density Dimensional Hub & Tools
Viscosity Dynamic Dimensional Hub & Tools
Viscosity Kinematic Dimensional Hub & Tools
Surface Tension Dimensional Hub & Tools
Permeability Dimensional Hub & Tools