Convert ton / cubic mile to ton / bushel

Learn how to convert 1 ton / cubic mile to ton / bushel step by step.

Calculation Breakdown

Set up the equation

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

Define the base values of the selected units in relation to the SI unit

(\frac{k i l o g r a m}{c u b i c m e t e r})

Left side: 1.0 (\frac{t o n}{c u b i c m i l e}) = \frac{10^{3}}{4168181825.44058} (\frac{k i l o g r a m}{c u b i c m e t e r}) = \frac{10^{3}}{4168181825.44058} (\frac{k g}{m^{3}})

Right side: 1.0 (\frac{t o n}{b u s h e l}) = \frac{10^{5}}{3.636872} (\frac{k i l o g r a m}{c u b i c m e t e r}) = \frac{10^{5}}{3.636872} (\frac{k g}{m^{3}})

Insert known values into the conversion equation to determine

x

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

Insert known values =>

1.0 \times \frac{10^{3}}{4168181825.44058} \times (\frac{k i l o g r a m}{c u b i c m e t e r}) = x \times \frac{10^{5}}{3.636872} \times (\frac{k i l o g r a m}{c u b i c m e t e r})

Or

1.0 \cdot \frac{10^{3}}{4168181825.44058} \cdot (\frac{k g}{m^{3}}) = x \cdot \frac{10^{5}}{3.636872} \cdot (\frac{k g}{m^{3}})

Cancel SI units

1.0 \times \frac{10^{3}}{4168181825.44058} \cdot (\frac{k g}{m^{3}}) = x \times \frac{10^{5}}{3.636872} \times (\frac{k g}{m^{3}})

Conversion Equation

\frac{10^{3}}{4168181825.44058} = x \times \frac{10^{5}}{3.636872}

Cancel factors on both sides

Cancel factors

\frac{10^{3}}{4168181825.44058} = x \times \frac{{10^{5}}^{10^{2}}}{3.636872}

Switch sides

x \times \frac{10^{2}}{3.636872} = \frac{1.0}{4168181825.44058}

Isolate

x

Multiply both sides by

(\frac{3.636872}{10^{2}})

x \times \frac{10^{2}}{3.636872} \times \frac{3.636872}{10^{2}} = \frac{1.0}{4168181825.44058} \times \frac{3.636872}{10^{2}}

Cancel

x \times \frac{10^{2} \times 3.636872}{3.636872 \times 10^{2}} = \frac{1.0 \times 3.636872}{4168181825.44058 \times 10^{2}}

Simplify

x = \frac{3.636872}{4168181825.44058 \times 10^{2}}

Rewrite equation

\frac{1.0}{10^{2}} can be rewritten to 10^{- 2}

Rewrite

x = \frac{10^{- 2} \times 3.636872}{4168181825.44058}

Solve

x

x \approx 8.7253199412 \times 10^{- 12} \approx 8.7253 \times 10^{- 12}

Conversion Equation

1.0 (\frac{t o n}{c u b i c m i l e}) \approx 8.7253 \times 10^{- 12} (\frac{t o n}{b u s h e l})

View All Examples