Convert cubic meter / second to cubic mile / minute

Learn how to convert 1 cubic meter / second to cubic mile / minute step by step.

Calculation Breakdown

Set up the equation

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

Right side: 1.0 (\frac{c u b i c m i l e}{m i n u t e}) = \frac{4168181825.44058}{60.0} (\frac{c u b i c m e t e r}{s e c o n d}) = \frac{4168181825.44058}{60.0} (\frac{m^{3}}{s})

Insert known values into the conversion equation to determine

x

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

Insert known values =>

1.0 \times 1.0 \times (\frac{c u b i c m e t e r}{s e c o n d}) = x \times \frac{4168181825.44058}{60.0} \times (\frac{c u b i c m e t e r}{s e c o n d})

Or

1.0 \cdot 1.0 \cdot (\frac{m^{3}}{s}) = x \cdot \frac{4168181825.44058}{60.0} \cdot (\frac{m^{3}}{s})

Cancel SI units

1.0 \times 1.0 \cdot (\frac{m^{3}}{s}) = x \times \frac{4168181825.44058}{60.0} \times (\frac{m^{3}}{s})

Conversion Equation

1.0 = x \times \frac{4168181825.44058}{60.0}

Simplify

1.0 = x \times \frac{4168181825.44058}{60.0}

Switch sides

x \times \frac{4168181825.44058}{60.0} = 1.0

Isolate

x

Multiply both sides by

(\frac{60.0}{4168181825.44058})

x \times \frac{4168181825.44058}{60.0} \times \frac{60.0}{4168181825.44058} = 1.0 \times \frac{60.0}{4168181825.44058}

Cancel

x \times \frac{4168181825.44058 \times 60.0}{60.0 \times 4168181825.44058} = 1.0 \times \frac{60.0}{4168181825.44058}

Simplify

x = \frac{60.0}{4168181825.44058}

Solve

x

x \approx 0.0000000144 \approx 1.4395 \times 10^{- 8}

Conversion Equation

1.0 (\frac{c u b i c m e t e r}{s e c o n d}) \approx 1.4395 \times 10^{- 8} (\frac{c u b i c m i l e}{m i n u t e})

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