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Cubic Feet/hour to Liters/hour Converter (ft³/h to L/h)

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Live Conversion • ISO 80000-4:2019 Certified
1 Cubic foot/hour = 28.31684659 Liter/hour
1 ft³/h = 28.316847 L/h • 1 L/h = 0.0353147 ft³/h
Cubic foot/hour to Liter/hour: One Cubic foot/hour is equal to 28.31684659 Liters/hour.
Certified Authority Value
28.31684659
L/h
Exact: 1 L/h ≡ 0.03531466672 ft³/h
ft³/h
ft³/h
Swap to Liter/hour to Cubic foot/hour
Swap to Liter/hour to Cubic foot/hour
L/h
L/h 28.31684659
Quick Values:
Conversion Formula
To convert Cubic foot/hour to Liter/hour, multiply by 28.31684659
ft³/h × 28.31684659 = L/h

Calculation: 1 ft³/h × 28.31684659 = 28.31684659 L/h

Common Cubic foot/hour to Liter/hour Calculations

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

Tap any row to calculate
Cubic foot/hour to Liter/hour: Primary Direct Table (15 Steps)
Cubic foot/hour to Liter/hour Conversion Reference Table
Conversion & Equivalent Value Scientific Notation
0.001 ft³/h 0.0283168 L/h 2.832 × 10⁻²
0.01 ft³/h 0.283168 L/h 2.832 × 10⁻¹
0.1 ft³/h 2.831685 L/h 2.832 × 10⁰
0.5 ft³/h 14.158423 L/h 1.416 × 10¹
1 ft³/h 28.316847 L/h 2.832 × 10¹
2 ft³/h 56.633693 L/h 5.663 × 10¹
5 ft³/h 141.584233 L/h 1.416 × 10²
10 ft³/h 283.168466 L/h 2.832 × 10²
20 ft³/h 566.336932 L/h 5.663 × 10²
25 ft³/h 707.921165 L/h 7.079 × 10²
50 ft³/h 1415.84233 L/h 1.416 × 10³
100 ft³/h 2831.684659 L/h 2.832 × 10³
250 ft³/h 7079.211648 L/h 7.079 × 10³
500 ft³/h 14158.423296 L/h 1.416 × 10⁴
1000 ft³/h 28316.846592 L/h 2.832 × 10⁴
Liter/hour to Cubic foot/hour: Reciprocal Summary
Liter/hour to Cubic foot/hour Conversion Reference Table
Reciprocal & Equivalent Value Scientific Notation
1 L/h 0.0353147 ft³/h 3.531 × 10⁻²
5 L/h 0.176573 ft³/h 1.766 × 10⁻¹
10 L/h 0.353147 ft³/h 3.531 × 10⁻¹
50 L/h 1.765733 ft³/h 1.766 × 10⁰
100 L/h 3.531467 ft³/h 3.531 × 10⁰
View Complete 15-Row Liter/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 Liter/hour (L/h):

Cubic foot/hour References:

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

Liter/hour References:

  • Agricultural drip irrigation emitter delivery rate for vineyard grapevines 4 L/h
  • Residential whole-home evaporative central furnace humidifier water feed 3 L/h

Tap any benchmark above to automatically calculate its exact equivalent in Liter/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 Liter/hour

Converting Cubic foot/hour (ft³/h) to Liter/hour (L/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 28.316847 Liter/hour, while 1 L/h equals 0.0353147 ft³/h.

Direct Factor1 ft³/h = 28.316847 L/h
Inverse Ratio1 L/h = 0.0353147 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 L/h = 2.777778 × 10⁻⁷ cubic meter per second (m³/s)
Step-by-step substitution for Cubic foot/hour → Liter/hour:V(L/h) = V(ft³/h) × ( 7.865791 × 10⁻⁶ / 2.777778 × 10⁻⁷ ) = V(ft³/h) × 28.316847
Mathematical FormulaValue in Liter/hour = Value in Cubic foot/hour × 28.31684659Direct computational formula applied for standard conversion.
Worked Example

For an engineering input of 75 ft³/h, applying the conversion factor yields exactly 2123.763494 L/h. At larger operational scale, 1000 Cubic foot/hour corresponds to 28316.846592 L/h.

Inverse check: 1 L/h = 0.0353147 ft³/h.

Understanding Cubic foot/hour and Liter/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

Liter/hour

L/h
Standard Unit

A Liter/hour (L/h) is a recognized unit for volumetric flow rate.

Applications & Practical Context

In practical flow terms, a agricultural drip irrigation emitter delivery rate for vineyard grapevines equals 4 L/h, a residential whole-home evaporative central furnace humidifier water feed equals 3 L/h.

Physical Setup

A physical magnitude of 1 L/h corresponds to 2.777778 × 10⁻⁷ m³/s in standard SI measurement.

Conversion to SI Unit: cubic meter per second (m³/s)
1 L/h = 2.777778 × 10⁻⁷ 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 Liter/hour
Residential natural gas home heating furnace fuel consumption rate (80 cu ft/h)80 cu ft/h2265.347727 L/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 28.31684659 liters/hour (L/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 28.31684659.

The mathematical formula to convert cubic feet/hour to liters/hour is: [value] * 28.31684659 = liters/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 liters/hour back to cubic feet/hour, you must divide your starting value by 28.31684659. Our bidirectional tool automatically computes this inverse equation the moment you type into the liter/hour input field.

1 Cubic foot/hour is larger than 1 Liter/hour. Specifically, 1 Cubic foot/hour equals exactly 28.31684659 liters/hour, making it 28.3168 times larger (a difference of 1.45 orders of magnitude). Therefore, quantities expressed in liters/hour require a larger numerical value to represent the same physical amount.

A typical residential natural gas home heating furnace fuel consumption rate (80 cu ft/h) measures 80 cu ft/h, which corresponds to 2265.3477 Liter Per Hour (Liter/hour).

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