Convert cubic mile / second to cubic inch / minute

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

Calculation Breakdown

Set up the equation

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

Right side: 1.0 (\frac{c u b i c i n c h}{m i n u t e}) = \frac{1.6387064 \times 10^{- 5}}{60.0} (\frac{c u b i c m e t e r}{s e c o n d}) = \frac{1.6387064 \times 10^{- 5}}{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 i l e}{s e c o n d}) = x (\frac{c u b i c i n c h}{m i n u t e})

Insert known values =>

1.0 \times 4168181825.44058 \times (\frac{c u b i c m e t e r}{s e c o n d}) = x \times \frac{1.6387064 \times 10^{- 5}}{60.0} \times (\frac{c u b i c m e t e r}{s e c o n d})

Or

1.0 \cdot 4168181825.44058 \cdot (\frac{m^{3}}{s}) = x \cdot \frac{1.6387064 \times 10^{- 5}}{60.0} \cdot (\frac{m^{3}}{s})

Cancel SI units

1.0 \times 4168181825.44058 \cdot (\frac{m^{3}}{s}) = x \times \frac{1.6387064 \times 10^{- 5}}{60.0} \times (\frac{m^{3}}{s})

Conversion Equation

4168181825.44058 = x \times \frac{1.6387064 \times 10^{- 5}}{60.0}

Switch sides

x \times \frac{1.6387064 \times 10^{- 5}}{60.0} = 4168181825.44058

Isolate

x

Multiply both sides by

(\frac{60.0}{1.6387064 \times 10^{- 5}})

x \times \frac{1.6387064 \times 10^{- 5}}{60.0} \times \frac{60.0}{1.6387064 \times 10^{- 5}} = 4168181825.44058 \times \frac{60.0}{1.6387064 \times 10^{- 5}}

Cancel

x \times \frac{1.6387064 \times 10^{- 5} \times 60.0}{60.0 \times 1.6387064 \times 10^{- 5}} = 4168181825.44058 \times \frac{60.0}{1.6387064 \times 10^{- 5}}

Simplify

x = \frac{4168181825.44058 \times 60.0}{1.6387064 \times 10^{- 5}}

Rewrite equation

\frac{1.0}{10^{- 5}} can be rewritten to 10^{5}

Rewrite

x = \frac{10^{5} \times 4168181825.44058 \times 60.0}{1.6387064}

Solve

x

x \approx 1.5261483663 \times 10^{16} \approx 1.5261 \times 10^{16}

Conversion Equation

1.0 (\frac{c u b i c m i l e}{s e c o n d}) \approx 1.5261 \times 10^{16} (\frac{c u b i c i n c h}{m i n u t e})

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