Convert cubic foot / hour to gallon / hour

Learn how to convert 1 cubic foot / hour to gallon / hour 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}{h o u r})

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}{h o u r}) = \frac{4.54609 \times 10^{- 3}}{3.6 \times 10^{3}} (\frac{c u b i c m e t e r}{s e c o n d}) = \frac{4.54609 \times 10^{- 3}}{3.6 \times 10^{3}} (\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}{h o u r})

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{4.54609 \times 10^{- 3}}{3.6 \times 10^{3}} \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{4.54609 \times 10^{- 3}}{3.6 \times 10^{3}} \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{4.54609 \times 10^{- 3}}{3.6 \times 10^{3}} \times (\frac{m^{3}}{s})

Conversion Equation

\frac{2.8316846592 \times 10^{- 2}}{3.6 \times 10^{3}} = x \times \frac{4.54609 \times 10^{- 3}}{3.6 \times 10^{3}}

Cancel factors on both sides

Cancel factors

\frac{2.8316846592 \times 10^{- 2}}{3.6 \times 10^{3}} = x \times \frac{4.54609 \times {10^{- 3}}^{10^{- 1}}}{3.6 \times 10^{3}}

Simplify

2.8316846592 = x \times 4.54609 \times 10^{- 1}

Switch sides

x \times 4.54609 \times 10^{- 1} = 2.8316846592

Isolate

x

Multiply both sides by

(\frac{1.0}{4.54609 \times 10^{- 1}})

x \times 4.54609 \times 10^{- 1} \times \frac{1.0}{4.54609 \times 10^{- 1}} = 2.8316846592 \times \frac{1.0}{4.54609 \times 10^{- 1}}

Cancel

x \times 4.54609 \times 10^{- 1} \times \frac{1.0}{4.54609 \times 10^{- 1}} = 2.8316846592 \times \frac{1.0}{4.54609 \times 10^{- 1}}

Simplify

x = \frac{2.8316846592}{4.54609 \times 10^{- 1}}

Rewrite equation

\frac{1.0}{10^{- 1}} can be rewritten to 10

Rewrite

x = \frac{10.0 \times 2.8316846592}{4.54609}

Solve

x

x \approx 6.228835459 \approx 6.2288

Conversion Equation

1.0 (\frac{c u b i c f o o t}{h o u r}) \approx 6.2288 (\frac{g a l l o n}{h o u r})

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