Convert gallon / hour to cubic yard / hour

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

Calculation Breakdown

Set up the equation

1.0 (\frac{g a l l o n}{h o u r}) = x (\frac{c u b i c y a r d}{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{g a l l o n}{h o u r}) = \frac{4.40488377086 \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{4.40488377086 \times 10^{- 3}}{3.6 \times 10^{3}} (\frac{m^{3}}{s})

Right side: 1.0 (\frac{c u b i c y a r d}{h o u r}) = \frac{0.764554857984}{3.6 \times 10^{3}} (\frac{c u b i c m e t e r}{s e c o n d}) = \frac{0.764554857984}{3.6 \times 10^{3}} (\frac{m^{3}}{s})

Insert known values into the conversion equation to determine

x

1.0 (\frac{g a l l o n}{h o u r}) = x (\frac{c u b i c y a r d}{h o u r})

Insert known values =>

1.0 \times \frac{4.40488377086 \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}) = x \times \frac{0.764554857984}{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{4.40488377086 \times 10^{- 3}}{3.6 \times 10^{3}} \cdot (\frac{m^{3}}{s}) = x \cdot \frac{0.764554857984}{3.6 \times 10^{3}} \cdot (\frac{m^{3}}{s})

Cancel SI units

1.0 \times \frac{4.40488377086 \times 10^{- 3}}{3.6 \times 10^{3}} \cdot (\frac{m^{3}}{s}) = x \times \frac{0.764554857984}{3.6 \times 10^{3}} \times (\frac{m^{3}}{s})

Conversion Equation

\frac{4.40488377086 \times 10^{- 3}}{3.6 \times 10^{3}} = x \times \frac{0.764554857984}{3.6 \times 10^{3}}

Cancel factors on both sides

Cancel factors

\frac{4.40488377086 \times 10^{- 3}}{3.6 \times 10^{3}} = x \times \frac{0.764554857984}{3.6 \times 10^{3}}

Simplify

4.40488377086 \times 10^{- 3} = x \times 0.764554857984

Switch sides

x \times 0.764554857984 = 4.40488377086 \times 10^{- 3}

Isolate

x

Multiply both sides by

(\frac{1.0}{0.764554857984})

x \times 0.764554857984 \times \frac{1.0}{0.764554857984} = 4.40488377086 \times 10^{- 3} \times \frac{1.0}{0.764554857984}

Cancel

x \times 0.764554857984 \times \frac{1.0}{0.764554857984} = 4.40488377086 \times 10^{- 3} \times \frac{1.0}{0.764554857984}

Simplify

x = \frac{4.40488377086 \times 10^{- 3}}{0.764554857984}

Solve

x

x \approx 0.0057613705 \approx 5.7614 \times 10^{- 3}

Conversion Equation

1.0 (\frac{g a l l o n}{h o u r}) \approx 5.7614 \times 10^{- 3} (\frac{c u b i c y a r d}{h o u r})

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