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Cubic Centimeters/hour to Cubic Feet/hour Converter (cm³/h to ft³/h)

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Live Conversion • ISO 80000-4:2019 Certified
1 Cubic centimeter/hour = 3.53146667 × 10⁻⁵ Cubic foot/hour
1 cm³/h = 3.531467 × 10⁻⁵ ft³/h • 1 ft³/h = 28316.846592 cm³/h
Cubic centimeter/hour to Cubic foot/hour: One Cubic centimeter/hour is equal to 3.53146667 × 10⁻⁵ Cubic Feet/hour.
Certified Authority Value
0.00003531
ft³/h
Exact: 1 ft³/h ≡ 28316.846592 cm³/h
cm³/h
cm³/h
Swap to Cubic foot/hour to Cubic centimeter/hour
Swap to Cubic foot/hour to Cubic centimeter/hour
ft³/h
ft³/h 3.53146667 × 10⁻⁵
Quick Values:
Conversion Formula
To convert Cubic centimeter/hour to Cubic foot/hour, multiply by 3.53146667 × 10⁻⁵
cm³/h × 3.53146667 × 10⁻⁵ = ft³/h

Calculation: 1 cm³/h × 3.53146667 × 10⁻⁵ = 3.53146667 × 10⁻⁵ ft³/h

Common Cubic centimeter/hour to Cubic foot/hour Calculations

Quick-lookup reference table showing calculated equivalents for standard increments between Cubic centimeter/hour (cm³/h) and Cubic foot/hour (ft³/h).

Tap any row to calculate
Cubic centimeter/hour to Cubic foot/hour: Primary Direct Table (15 Steps)
Cubic centimeter/hour to Cubic foot/hour Conversion Reference Table
Conversion & Equivalent Value Scientific Notation
0.001 cm³/h 3.531467 × 10⁻⁸ ft³/h 3.531 × 10⁻⁸
0.01 cm³/h 3.531467 × 10⁻⁷ ft³/h 3.531 × 10⁻⁷
0.1 cm³/h 3.531467 × 10⁻⁶ ft³/h 3.531 × 10⁻⁶
0.5 cm³/h 1.765733 × 10⁻⁵ ft³/h 1.766 × 10⁻⁵
1 cm³/h 3.531467 × 10⁻⁵ ft³/h 3.531 × 10⁻⁵
2 cm³/h 7.062933 × 10⁻⁵ ft³/h 7.063 × 10⁻⁵
5 cm³/h 0.000176573 ft³/h 1.766 × 10⁻⁴
10 cm³/h 0.000353147 ft³/h 3.531 × 10⁻⁴
20 cm³/h 0.000706293 ft³/h 7.063 × 10⁻⁴
25 cm³/h 0.000882867 ft³/h 8.829 × 10⁻⁴
50 cm³/h 0.00176573 ft³/h 1.766 × 10⁻³
100 cm³/h 0.00353147 ft³/h 3.531 × 10⁻³
250 cm³/h 0.00882867 ft³/h 8.829 × 10⁻³
500 cm³/h 0.0176573 ft³/h 1.766 × 10⁻²
1000 cm³/h 0.0353147 ft³/h 3.531 × 10⁻²
Cubic foot/hour to Cubic centimeter/hour: Reciprocal Summary
Cubic foot/hour to Cubic centimeter/hour Conversion Reference Table
Reciprocal & Equivalent Value Scientific Notation
1 ft³/h 28316.846592 cm³/h 2.832 × 10⁴
5 ft³/h 141584.23296 cm³/h 1.416 × 10⁵
10 ft³/h 283168.46592 cm³/h 2.832 × 10⁵
50 ft³/h 1415842.3296 cm³/h 1.416 × 10⁶
100 ft³/h 2831684.6592 cm³/h 2.832 × 10⁶
View Complete 15-Row Cubic foot/hour to Cubic centimeter/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 centimeter/hour (cm³/h) and Cubic foot/hour (ft³/h):

Cubic centimeter/hour References:

  • Hospital clinical patient syringe infusion pump intravenous drug delivery 20 cm³/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 centimeter/hour to Cubic foot/hour

Converting Cubic centimeter/hour (cm³/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 centimeter/hour equals 3.531467 × 10⁻⁵ Cubic foot/hour, while 1 ft³/h equals 28316.846592 cm³/h.

Direct Factor1 cm³/h = 3.531467 × 10⁻⁵ ft³/h
Inverse Ratio1 ft³/h = 28316.846592 cm³/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 cm³/h = 2.777778 × 10⁻¹⁰ 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 centimeter/hour → Cubic foot/hour:V(ft³/h) = V(cm³/h) × ( 2.777778 × 10⁻¹⁰ / 7.865791 × 10⁻⁶ ) = V(cm³/h) × 3.531467 × 10⁻⁵
Mathematical FormulaValue in Cubic foot/hour = Value in Cubic centimeter/hour × 3.53146667 × 10⁻⁵Direct computational formula applied for standard conversion.
Worked Example

Evaluating an input of 12 Cubic centimeter/hour (cm³/h) produces 0.000423776 Cubic foot/hour (ft³/h). In heavy-duty utility and industrial workloads, 1000 cm³/h equals 0.0353147 ft³/h.

Inverse check: 1 ft³/h = 28316.846592 cm³/h.

Understanding Cubic centimeter/hour and Cubic foot/hour

Cubic centimeter/hour

cm³/h
Standard Unit

A Cubic centimeter/hour (cm³/h) is a recognized unit for volumetric flow rate.

Applications & Practical Context

In practical flow terms, a hospital clinical patient syringe infusion pump intravenous drug delivery equals 20 cm³/h.

Physical Setup

A physical magnitude of 1 cm³/h corresponds to 2.777778 × 10⁻¹⁰ m³/s in standard SI measurement.

Conversion to SI Unit: cubic meter per second (m³/s)
1 cm³/h = 2.777778 × 10⁻¹⁰ 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
Hospital clinical patient syringe infusion pump intravenous drug delivery20 cm³/h0.000706293 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 cm³/h at Water (20°C / Standard Ambient) = 2.7728 × 10⁻⁷ kg/s
Equals 0.0009982 kg/h • 6.1129 × 10⁻⁷ lb/s • 0.0022 lb/h
SI Mass Flow
2.7728 × 10⁻⁷
kg/s
Kilograms per Second
Industrial Process
0.0009982
kg/h
Kilograms per Hour
US Mass Flow
6.1129 × 10⁻⁷
lb/s
Pounds per Second
Boiler / Turbine Rating
0.0022
lb/h
Pounds per Hour
Heavy Plant Header
9.982 × 10⁻⁷
t/h
Metric Tons per Hour
Chemical / Laboratory
0.0002773
g/s
Grams per Second
  1. 1. Normalize Input to SI Base Unit (m³/s):
    Q = 1 cm³/h × 2.77777778 × 10⁻¹⁰ = 2.77777778 × 10⁻¹⁰ 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 = (2.77777778 × 10⁻¹⁰ m³/s) × (998.2 kg/m³) = 2.772778 × 10⁻⁷ kg/s
  4. 4. Convert to Standard Engineering Units:
    • kg/s: 2.772778 × 10⁻⁷ × 1 = 2.7728 × 10⁻⁷ kg/s (Kilograms per Second) • kg/h: 2.772778 × 10⁻⁷ × 3600 = 0.0009982 kg/h (Kilograms per Hour) • lb/s: 2.772778 × 10⁻⁷ × 2.2046 = 6.1129 × 10⁻⁷ lb/s (Pounds per Second) • lb/h: 2.772778 × 10⁻⁷ × 7936.6414 = 0.0022 lb/h (Pounds per Hour) • t/h: 2.772778 × 10⁻⁷ × 3.6 = 9.982 × 10⁻⁷ t/h (Metric Tons per Hour) • g/s: 2.772778 × 10⁻⁷ × 1000 = 0.0002773 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 3.53146667 × 10⁻⁵ cubic feet/hour (ft³/h) in 1 cubic centimeter/hour (cm³/h). To calculate larger amounts manually, simply multiply your total number of cubic centimeters/hour by the conversion multiplier of 3.53146667 × 10⁻⁵.

The mathematical formula to convert cubic centimeters/hour to cubic feet/hour is: [value] * 3.53146667 × 10⁻⁵ = 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 centimeters/hour, you must divide your starting value by 3.53146667 × 10⁻⁵. Our bidirectional tool automatically computes this inverse equation the moment you type into the cubic foot/hour input field.

1 Cubic foot/hour is larger than 1 Cubic centimeter/hour. Specifically, 1 Cubic centimeter/hour equals 3.53146667 × 10⁻⁵ cubic feet/hour, meaning 1 Cubic foot/hour is 28316.8466 times larger than 1 Cubic centimeter/hour (a difference of 4.45 orders of magnitude). Expressing measurements in cubic centimeters/hour requires a larger numerical value to represent the equivalent physical magnitude.

A typical hospital clinical patient syringe infusion pump intravenous drug delivery measures 20 cm³/h, which corresponds to 0.0007063 Cubic Foot Per Hour (Cubic foot/hour).

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