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

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Live Conversion • ISO 80000-4:2019 Certified

1 Cubic foot/hour = 7.86579072 × 10⁻⁶ Cubic meter/second

1 ft³/h = 7.865791 × 10⁻⁶ m³/s • 1 m³/s = 127132.800197 ft³/h

Decimals:

Certified Authority Value

0.00000787

m³/s

From / Input

ft³/h

Swap to Cubic meter/second to Cubic foot/hour

To / Result

m³/s

Quick Values:

Conversion Formula

To convert Cubic foot/hour to Cubic meter/second, multiply by 7.86579072 × 10⁻⁶

ft³/h × 7.86579072 × 10⁻⁶ = m³/s

Calculation: 1 ft³/h × 7.86579072 × 10⁻⁶ = 7.86579072 × 10⁻⁶ m³/s

Common Cubic foot/hour to Cubic meter/second Calculations

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

Tap any row to calculate

Cubic foot/hour to Cubic meter/second: Primary Direct Table (15 Steps)

Rule: 1 Cubic foot/hour is equal to 7.865791 × 10⁻⁶ m³/s (Cubic meter/second)

Cubic foot/hour to Cubic meter/second Conversion Reference Table
Conversion & Equivalent Value	Scientific Notation
0.001 ft³/h 7.865791 × 10⁻⁹ m³/s	7.866 × 10⁻⁹
0.01 ft³/h 7.865791 × 10⁻⁸ m³/s	7.866 × 10⁻⁸
0.1 ft³/h 7.865791 × 10⁻⁷ m³/s	7.866 × 10⁻⁷
0.5 ft³/h 3.932895 × 10⁻⁶ m³/s	3.933 × 10⁻⁶
1 ft³/h 7.865791 × 10⁻⁶ m³/s	7.866 × 10⁻⁶
2 ft³/h 1.573158 × 10⁻⁵ m³/s	1.573 × 10⁻⁵
5 ft³/h 3.932895 × 10⁻⁵ m³/s	3.933 × 10⁻⁵
10 ft³/h 7.865791 × 10⁻⁵ m³/s	7.866 × 10⁻⁵
20 ft³/h 0.000157316 m³/s	1.573 × 10⁻⁴
25 ft³/h 0.000196645 m³/s	1.966 × 10⁻⁴
50 ft³/h 0.00039329 m³/s	3.933 × 10⁻⁴
100 ft³/h 0.000786579 m³/s	7.866 × 10⁻⁴
250 ft³/h 0.00196645 m³/s	1.966 × 10⁻³
500 ft³/h 0.0039329 m³/s	3.933 × 10⁻³
1000 ft³/h 0.00786579 m³/s	7.866 × 10⁻³

Cubic meter/second to Cubic foot/hour: Reciprocal Summary

Rule: 1 Cubic meter/second is equal to 127132.800197 ft³/h (Cubic foot/hour)

Cubic meter/second to Cubic foot/hour Conversion Reference Table
Reciprocal & Equivalent Value	Scientific Notation
1 m³/s 127132.800197 ft³/h	1.271 × 10⁵
5 m³/s 635664.000987 ft³/h	6.357 × 10⁵
10 m³/s 1271328.001974 ft³/h	1.271 × 10⁶
50 m³/s 6356640.009868 ft³/h	6.357 × 10⁶
100 m³/s 1.271328 × 10⁷ ft³/h	1.271 × 10⁷

View Complete 15-Row Cubic meter/second 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/second (m³/s):

Cubic foot/hour References:

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

Cubic meter/second References:

Niagara Falls combined average tourist daytime river discharge flow rate 2400 m³/s
Amazon River mouth discharge into Atlantic Ocean (world largest river) 209000 m³/s
Municipal regional wastewater treatment plant peak sewage inflow rate 1 m³/s

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

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/second

Converting Cubic foot/hour (ft³/h) to Cubic meter/second (m³/s) 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 7.865791 × 10⁻⁶ Cubic meter/second, while 1 m³/s equals 127132.800197 ft³/h.

Direct Factor1 ft³/h = 7.865791 × 10⁻⁶ m³/s

Inverse Ratio1 m³/s = 127132.800197 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:

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 (k_source):1 ft³/h = 7.865791 × 10⁻⁶ cubic meter per second (m³/s)

2. Target SI Bridge (k_target):1 m³/s = 1 cubic meter per second (m³/s)

Step-by-step substitution for Cubic foot/hour → Cubic meter/second:V(m³/s) = V(ft³/h) × ( 7.865791 × 10⁻⁶ / 1 ) = V(ft³/h) × 7.865791 × 10⁻⁶

Mathematical FormulaValue in Cubic meter/second = Value in Cubic foot/hour × 7.86579072 × 10⁻⁶Direct computational formula applied for standard conversion.

Worked Example

Evaluating an input of 120 Cubic foot/hour (ft³/h) produces 0.000943895 Cubic meter/second (m³/s). In heavy-duty utility and industrial workloads, 100 ft³/h equals 0.000786579 m³/s.

Inverse check: 1 m³/s = 127132.800197 ft³/h.

Understanding Cubic foot/hour and Cubic meter/second

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 Reference	Reference Value	Converted to Cubic meter/second
Residential natural gas home heating furnace fuel consumption rate (80 cu ft/h)	`80 cu ft/h`	`0.000629263 m³/s`

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).

Input Volumetric Flow Rate (Q): ft³/h

Select Fluid Density: 998.2 kg/m³

Governing Law: 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

Step-by-Step Numerical Derivation Proof View Derivation

1. Normalize Input to SI Base Unit (m³/s):
Q = 1 ft³/h × 7.86579072 × 10⁻⁶ = 7.86579072 × 10⁻⁶ m³/s
2. Apply Engineering Parameter (ρ):
Selected condition: Water (20°C / Standard Ambient) at ρ = 998.2 kg/m³
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. 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

Frequently Asked Questions

There are exactly 7.86579072 × 10⁻⁶ cubic meters/second (m³/s) 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 7.86579072 × 10⁻⁶.

The mathematical formula to convert cubic feet/hour to cubic meters/second is: [value] * 7.86579072 × 10⁻⁶ = cubic meters/second. 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/second back to cubic feet/hour, you must divide your starting value by 7.86579072 × 10⁻⁶. Our bidirectional tool automatically computes this inverse equation the moment you type into the cubic meter/second input field.

1 Cubic meter/second is larger than 1 Cubic foot/hour. Specifically, 1 Cubic foot/hour equals 7.86579072 × 10⁻⁶ cubic meters/second, meaning 1 Cubic meter/second is 127132.8002 times larger than 1 Cubic foot/hour (a difference of 5.10 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 0.0006293 Cubic Meter Per Second (Cubic meter/second).