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

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Live Conversion • ISO 80000-4:2019 Certified
1 Cubic foot/hour = 0.67960432 Cubic meter/day
1 ft³/h = 0.679604 m³/d • 1 m³/d = 1.471444 ft³/h
Cubic foot/hour to Cubic meter/day: One Cubic foot/hour is equal to 0.67960432 Cubic Meters/day.
Certified Authority Value
0.67960432
m³/d
Exact: 1 m³/d ≡ 1.4714444467 ft³/h
ft³/h
ft³/h
Swap to Cubic meter/day to Cubic foot/hour
Swap to Cubic meter/day to Cubic foot/hour
m³/d
m³/d 0.67960432
Quick Values:
Conversion Formula
To convert Cubic foot/hour to Cubic meter/day, multiply by 0.67960432
ft³/h × 0.67960432 = m³/d

Calculation: 1 ft³/h × 0.67960432 = 0.67960432 m³/d

Common Cubic foot/hour to Cubic meter/day Calculations

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

Tap any row to calculate
Cubic foot/hour to Cubic meter/day: Primary Direct Table (15 Steps)
Cubic foot/hour to Cubic meter/day Conversion Reference Table
Conversion & Equivalent Value Scientific Notation
0.001 ft³/h 0.000679604 m³/d 6.796 × 10⁻⁴
0.01 ft³/h 0.00679604 m³/d 6.796 × 10⁻³
0.1 ft³/h 0.0679604 m³/d 6.796 × 10⁻²
0.5 ft³/h 0.339802 m³/d 3.398 × 10⁻¹
1 ft³/h 0.679604 m³/d 6.796 × 10⁻¹
2 ft³/h 1.359209 m³/d 1.359 × 10⁰
5 ft³/h 3.398022 m³/d 3.398 × 10⁰
10 ft³/h 6.796043 m³/d 6.796 × 10⁰
20 ft³/h 13.592086 m³/d 1.359 × 10¹
25 ft³/h 16.990108 m³/d 1.699 × 10¹
50 ft³/h 33.980216 m³/d 3.398 × 10¹
100 ft³/h 67.960432 m³/d 6.796 × 10¹
250 ft³/h 169.90108 m³/d 1.699 × 10²
500 ft³/h 339.802159 m³/d 3.398 × 10²
1000 ft³/h 679.604318 m³/d 6.796 × 10²
Cubic meter/day to Cubic foot/hour: Reciprocal Summary
Cubic meter/day to Cubic foot/hour Conversion Reference Table
Reciprocal & Equivalent Value Scientific Notation
1 m³/d 1.471444 ft³/h 1.471 × 10⁰
5 m³/d 7.357222 ft³/h 7.357 × 10⁰
10 m³/d 14.714444 ft³/h 1.471 × 10¹
50 m³/d 73.572222 ft³/h 7.357 × 10¹
100 m³/d 147.144445 ft³/h 1.471 × 10²
View Complete 15-Row Cubic meter/day 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/day (m³/d):

Cubic foot/hour References:

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

Cubic meter/day References:

  • Municipal drinking water treatment facility daily processing throughput 10000 m³/d

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

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/day

Converting Cubic foot/hour (ft³/h) to Cubic meter/day (m³/d) 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 0.679604 Cubic meter/day, while 1 m³/d equals 1.471444 ft³/h.

Direct Factor1 ft³/h = 0.679604 m³/d
Inverse Ratio1 m³/d = 1.471444 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/d = 1.157407 × 10⁻⁵ cubic meter per second (m³/s)
Step-by-step substitution for Cubic foot/hour → Cubic meter/day:V(m³/d) = V(ft³/h) × ( 7.865791 × 10⁻⁶ / 1.157407 × 10⁻⁵ ) = V(ft³/h) × 0.679604
Mathematical FormulaValue in Cubic meter/day = Value in Cubic foot/hour × 0.67960432Direct computational formula applied for standard conversion.
Worked Example

To convert 12 Cubic foot/hour (ft³/h) to Cubic meter/day (m³/d): multiply 12 by 0.679604 to get 8.155252 m³/d. At an industrial engineering scale, 1000 ft³/h converts to 679.604318 m³/d.

Inverse check: 1 m³/d = 1.471444 ft³/h.

Understanding Cubic foot/hour and Cubic meter/day

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/day

m³/d
Standard Unit

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

Applications & Practical Context

In practical flow terms, a municipal drinking water treatment facility daily processing throughput equals 10000 m³/d.

Physical Setup

A physical magnitude of 1 m³/d corresponds to 1.157407 × 10⁻⁵ m³/s in standard SI measurement.

Conversion to SI Unit: cubic meter per second (m³/s)
1 m³/d = 1.157407 × 10⁻⁵ 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/day
Residential natural gas home heating furnace fuel consumption rate (80 cu ft/h)80 cu ft/h54.368345 m³/d
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 0.67960432 cubic meters/day (m³/d) 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 0.67960432.

The mathematical formula to convert cubic feet/hour to cubic meters/day is: [value] * 0.67960432 = cubic meters/day. 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/day back to cubic feet/hour, you must divide your starting value by 0.67960432. Our bidirectional tool automatically computes this inverse equation the moment you type into the cubic meter/day input field.

1 Cubic meter/day is larger than 1 Cubic foot/hour. Specifically, 1 Cubic foot/hour equals 0.67960432 cubic meters/day, meaning 1 Cubic meter/day is 1.4714 times larger than 1 Cubic foot/hour (a difference of 0.17 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 54.3683 Cubic Meter Per Day (Cubic meter/day).

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