Convert cubic foot / hour to gallon / minute

Learn how to convert 1 cubic foot / hour to gallon / minute step by step.

Calculation Breakdown

Set up the equation

1.0 (\frac{c u b i c f o o t}{h o u r}) = x (\frac{g a l l o n}{m i n u t e})

Define the base values of the selected units in relation to the SI unit

(\frac{c u b i c m e t e r}{s e c o n d})

Left side: 1.0 (\frac{c u b i c f o o t}{h o u r}) = \frac{2.8316846592 \times 10^{- 2}}{3.6 \times 10^{3}} (\frac{c u b i c m e t e r}{s e c o n d}) = \frac{2.8316846592 \times 10^{- 2}}{3.6 \times 10^{3}} (\frac{m^{3}}{s})

Right side: 1.0 (\frac{g a l l o n}{m i n u t e}) = \frac{3.785411784 \times 10^{- 3}}{60.0} (\frac{c u b i c m e t e r}{s e c o n d}) = \frac{3.785411784 \times 10^{- 3}}{60.0} (\frac{m^{3}}{s})

Insert known values into the conversion equation to determine

x

1.0 (\frac{c u b i c f o o t}{h o u r}) = x (\frac{g a l l o n}{m i n u t e})

Insert known values =>

1.0 \times \frac{2.8316846592 \times 10^{- 2}}{3.6 \times 10^{3}} \times (\frac{c u b i c m e t e r}{s e c o n d}) = x \times \frac{3.785411784 \times 10^{- 3}}{60.0} \times (\frac{c u b i c m e t e r}{s e c o n d})

Or

1.0 \cdot \frac{2.8316846592 \times 10^{- 2}}{3.6 \times 10^{3}} \cdot (\frac{m^{3}}{s}) = x \cdot \frac{3.785411784 \times 10^{- 3}}{60.0} \cdot (\frac{m^{3}}{s})

Cancel SI units

1.0 \times \frac{2.8316846592 \times 10^{- 2}}{3.6 \times 10^{3}} \cdot (\frac{m^{3}}{s}) = x \times \frac{3.785411784 \times 10^{- 3}}{60.0} \times (\frac{m^{3}}{s})

Conversion Equation

\frac{2.8316846592 \times 10^{- 2}}{3.6 \times 10^{3}} = x \times \frac{3.785411784 \times 10^{- 3}}{60.0}

Cancel factors on both sides

Cancel factors

\frac{2.8316846592 \times 10^{- 2}}{3.6 \times 10^{3}} = x \times \frac{3.785411784 \times {10^{- 3}}^{10^{- 1}}}{60.0}

Simplify

\frac{2.8316846592}{3.6 \times 10^{3}} = x \times \frac{3.785411784 \times 10^{- 1}}{60.0}

Switch sides

x \times \frac{3.785411784 \times 10^{- 1}}{60.0} = \frac{2.8316846592}{3.6 \times 10^{3}}

Isolate

x

Multiply both sides by

(\frac{60.0}{3.785411784 \times 10^{- 1}})

x \times \frac{3.785411784 \times 10^{- 1}}{60.0} \times \frac{60.0}{3.785411784 \times 10^{- 1}} = \frac{2.8316846592}{3.6 \times 10^{3}} \times \frac{60.0}{3.785411784 \times 10^{- 1}}

Cancel

x \times \frac{3.785411784 \times 10^{- 1} \times 60.0}{60.0 \times 3.785411784 \times 10^{- 1}} = \frac{2.8316846592 \times 60.0}{3.6 \times {10^{3}}^{10^{2}} \times 3.785411784 \times 10^{- 1}}

Simplify

x = \frac{2.8316846592 \times 60.0}{3.6 \times 10^{2} \times 3.785411784}

Rewrite equation

\frac{1.0}{10^{2}} can be rewritten to 10^{- 2}

Rewrite

x = \frac{10^{- 2} \times 2.8316846592 \times 60.0}{3.6 \times 3.785411784}

Solve

x

x \approx 0.1246753247 \approx 1.2468 \times 10^{- 1}

Conversion Equation

1.0 (\frac{c u b i c f o o t}{h o u r}) \approx 1.2468 \times 10^{- 1} (\frac{g a l l o n}{m i n u t e})

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