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

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Live Conversion • ISO 80000-4:2019 Certified
1 Cubic foot/hour = 679.60431821 Liter/day
1 ft³/h = 679.604318 L/d • 1 L/d = 0.00147144 ft³/h
Cubic foot/hour to Liter/day: One Cubic foot/hour is equal to 679.60431821 Liters/day.
Certified Authority Value
679.60431821
L/d
Exact: 1 L/d ≡ 0.001471444447 ft³/h
ft³/h
ft³/h
Swap to Liter/day to Cubic foot/hour
Swap to Liter/day to Cubic foot/hour
L/d
L/d 679.60431821
Quick Values:
Conversion Formula
To convert Cubic foot/hour to Liter/day, multiply by 679.60431821
ft³/h × 679.60431821 = L/d

Calculation: 1 ft³/h × 679.60431821 = 679.60431821 L/d

Common Cubic foot/hour to Liter/day Calculations

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

Tap any row to calculate
Cubic foot/hour to Liter/day: Primary Direct Table (15 Steps)
Cubic foot/hour to Liter/day Conversion Reference Table
Conversion & Equivalent Value Scientific Notation
0.001 ft³/h 0.679604 L/d 6.796 × 10⁻¹
0.01 ft³/h 6.796043 L/d 6.796 × 10⁰
0.1 ft³/h 67.960432 L/d 6.796 × 10¹
0.5 ft³/h 339.802159 L/d 3.398 × 10²
1 ft³/h 679.604318 L/d 6.796 × 10²
2 ft³/h 1359.208636 L/d 1.359 × 10³
5 ft³/h 3398.021591 L/d 3.398 × 10³
10 ft³/h 6796.043182 L/d 6.796 × 10³
20 ft³/h 13592.086364 L/d 1.359 × 10⁴
25 ft³/h 16990.107955 L/d 1.699 × 10⁴
50 ft³/h 33980.21591 L/d 3.398 × 10⁴
100 ft³/h 67960.431821 L/d 6.796 × 10⁴
250 ft³/h 169901.079552 L/d 1.699 × 10⁵
500 ft³/h 339802.159104 L/d 3.398 × 10⁵
1000 ft³/h 679604.318208 L/d 6.796 × 10⁵
Liter/day to Cubic foot/hour: Reciprocal Summary
Liter/day to Cubic foot/hour Conversion Reference Table
Reciprocal & Equivalent Value Scientific Notation
1 L/d 0.00147144 ft³/h 1.471 × 10⁻³
5 L/d 0.00735722 ft³/h 7.357 × 10⁻³
10 L/d 0.0147144 ft³/h 1.471 × 10⁻²
50 L/d 0.0735722 ft³/h 7.357 × 10⁻²
100 L/d 0.147144 ft³/h 1.471 × 10⁻¹
View Complete 15-Row Liter/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 Liter/day (L/d):

Cubic foot/hour References:

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

Liter/day References:

  • Healthy adult human daily recommended metabolic drinking water consumption 2.5 L/d
  • Minor domestic plumbing faucet slow continuous drip water loss 50 L/d

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

Converting Cubic foot/hour (ft³/h) to Liter/day (L/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 679.604318 Liter/day, while 1 L/d equals 0.00147144 ft³/h.

Direct Factor1 ft³/h = 679.604318 L/d
Inverse Ratio1 L/d = 0.00147144 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/d = 1.157407 × 10⁻⁸ cubic meter per second (m³/s)
Step-by-step substitution for Cubic foot/hour → Liter/day:V(L/d) = V(ft³/h) × ( 7.865791 × 10⁻⁶ / 1.157407 × 10⁻⁸ ) = V(ft³/h) × 679.604318
Mathematical FormulaValue in Liter/day = Value in Cubic foot/hour × 679.60431821Direct computational formula applied for standard conversion.
Worked Example

For an engineering input of 15 ft³/h, applying the conversion factor yields exactly 10194.064773 L/d. At larger operational scale, 5000 Cubic foot/hour corresponds to 3398021.59104 L/d.

Inverse check: 1 L/d = 0.00147144 ft³/h.

Understanding Cubic foot/hour and Liter/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

Liter/day

L/d
Standard Unit

A Liter/day (L/d) is a recognized unit for volumetric flow rate.

Applications & Practical Context

In practical flow terms, a healthy adult human daily recommended metabolic drinking water consumption equals 2.5 L/d, a minor domestic plumbing faucet slow continuous drip water loss equals 50 L/d.

Physical Setup

A physical magnitude of 1 L/d corresponds to 1.157407 × 10⁻⁸ m³/s in standard SI measurement.

Conversion to SI Unit: cubic meter per second (m³/s)
1 L/d = 1.157407 × 10⁻⁸ 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/day
Residential natural gas home heating furnace fuel consumption rate (80 cu ft/h)80 cu ft/h54368.345457 L/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 679.60431821 liters/day (L/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 679.60431821.

The mathematical formula to convert cubic feet/hour to liters/day is: [value] * 679.60431821 = liters/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 liters/day back to cubic feet/hour, you must divide your starting value by 679.60431821. Our bidirectional tool automatically computes this inverse equation the moment you type into the liter/day input field.

1 Cubic foot/hour is larger than 1 Liter/day. Specifically, 1 Cubic foot/hour equals exactly 679.60431821 liters/day, making it 679.6043 times larger (a difference of 2.83 orders of magnitude). Therefore, quantities expressed in liters/day 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 54368.3455 Liter Per Day (Liter/day).

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