Convert gallon / hour to cubic mile / second

Learn how to convert 1 gallon / hour to cubic mile / second 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 m i l e}{s e c o n d})

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{4.54609 \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})

Right side: 1.0 (\frac{c u b i c m i l e}{s e c o n d}) = 4168181825.44058 (\frac{c u b i c m e t e r}{s e c o n d}) = 4168181825.44058 (\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 m i l e}{s e c o n d})

Insert known values =>

1.0 \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}) = x \times 4168181825.44058 \times (\frac{c u b i c m e t e r}{s e c o n d})

Or

1.0 \cdot \frac{4.54609 \times 10^{- 3}}{3.6 \times 10^{3}} \cdot (\frac{m^{3}}{s}) = x \cdot 4168181825.44058 \cdot (\frac{m^{3}}{s})

Cancel SI units

1.0 \times \frac{4.54609 \times 10^{- 3}}{3.6 \times 10^{3}} \cdot (\frac{m^{3}}{s}) = x \times 4168181825.44058 \times (\frac{m^{3}}{s})

Conversion Equation

\frac{4.54609 \times 10^{- 3}}{3.6 \times 10^{3}} = x \times 4168181825.44058

Switch sides

x \times 4168181825.44058 = \frac{4.54609 \times 10^{- 3}}{3.6 \times 10^{3}}

Isolate

x

Multiply both sides by

(\frac{1.0}{4168181825.44058})

x \times 4168181825.44058 \times \frac{1.0}{4168181825.44058} = \frac{4.54609 \times 10^{- 3}}{3.6 \times 10^{3}} \times \frac{1.0}{4168181825.44058}

Cancel

x \times 4168181825.44058 \times \frac{1.0}{4168181825.44058} = \frac{4.54609 \times 10^{- 3} \times 1.0}{3.6 \times 10^{3} \times 4168181825.44058}

Simplify

x = \frac{4.54609 \times 10^{- 3}}{3.6 \times 10^{3} \times 4168181825.44058}

Rewrite equation

\frac{1.0}{10^{3}} can be rewritten to 10^{- 3}

Rewrite

x = \frac{10^{- 3} \times 4.54609 \times 10^{- 3}}{3.6 \times 4168181825.44058}

Simplify

x = \frac{10^{- 6} \times 4.54609}{3.6 \times 4168181825.44058}

Solve

x

x \approx 3.0296249796 \times 10^{- 16} \approx 3.0296 \times 10^{- 16}

Conversion Equation

1.0 (\frac{g a l l o n}{h o u r}) \approx 3.0296 \times 10^{- 16} (\frac{c u b i c m i l e}{s e c o n d})

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