Convert cubic yard / second to cubic mile / hour

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

Calculation Breakdown

Set up the equation

1.0 (\frac{c u b i c y a r d}{s e c o n d}) = x (\frac{c u b i c m i l e}{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 y a r d}{s e c o n d}) = 0.764554857984 (\frac{c u b i c m e t e r}{s e c o n d}) = 0.764554857984 (\frac{m^{3}}{s})

Right side: 1.0 (\frac{c u b i c m i l e}{h o u r}) = \frac{4168181825.44058}{3.6 \times 10^{3}} (\frac{c u b i c m e t e r}{s e c o n d}) = \frac{4168181825.44058}{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 y a r d}{s e c o n d}) = x (\frac{c u b i c m i l e}{h o u r})

Insert known values =>

1.0 \times 0.764554857984 \times (\frac{c u b i c m e t e r}{s e c o n d}) = x \times \frac{4168181825.44058}{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 0.764554857984 \cdot (\frac{m^{3}}{s}) = x \cdot \frac{4168181825.44058}{3.6 \times 10^{3}} \cdot (\frac{m^{3}}{s})

Cancel SI units

1.0 \times 0.764554857984 \cdot (\frac{m^{3}}{s}) = x \times \frac{4168181825.44058}{3.6 \times 10^{3}} \times (\frac{m^{3}}{s})

Conversion Equation

0.764554857984 = x \times \frac{4168181825.44058}{3.6 \times 10^{3}}

Switch sides

x \times \frac{4168181825.44058}{3.6 \times 10^{3}} = 0.764554857984

Isolate

x

Multiply both sides by

(\frac{3.6 \times 10^{3}}{4168181825.44058})

x \times \frac{4168181825.44058}{3.6 \times 10^{3}} \times \frac{3.6 \times 10^{3}}{4168181825.44058} = 0.764554857984 \times \frac{3.6 \times 10^{3}}{4168181825.44058}

Cancel

x \times \frac{4168181825.44058 \times 3.6 \times 10^{3}}{3.6 \times 10^{3} \times 4168181825.44058} = 0.764554857984 \times \frac{3.6 \times 10^{3}}{4168181825.44058}

Simplify

x = \frac{0.764554857984 \times 3.6 \times 10^{3}}{4168181825.44058}

Solve

x

x \approx 0.0000006603 \approx 6.6034 \times 10^{- 7}

Conversion Equation

1.0 (\frac{c u b i c y a r d}{s e c o n d}) \approx 6.6034 \times 10^{- 7} (\frac{c u b i c m i l e}{h o u r})

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