Convert ton / bushel to ton / cubic yard

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

Calculation Breakdown

Set up the equation

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

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}{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}})

Right side: 1.0 (\frac{t o n}{c u b i c y a r d}) = \frac{10^{4}}{7.64554857984} (\frac{k i l o g r a m}{c u b i c m e t e r}) = \frac{10^{4}}{7.64554857984} (\frac{k g}{m^{3}})

Insert known values into the conversion equation to determine

x

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

Insert known values =>

1.0 \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}) = x \times \frac{10^{4}}{7.64554857984} \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^{5}}{3.636872} \cdot (\frac{k g}{m^{3}}) = x \cdot \frac{10^{4}}{7.64554857984} \cdot (\frac{k g}{m^{3}})

Cancel SI units

1.0 \times \frac{10^{5}}{3.636872} \cdot (\frac{k g}{m^{3}}) = x \times \frac{10^{4}}{7.64554857984} \times (\frac{k g}{m^{3}})

Conversion Equation

\frac{10^{5}}{3.636872} = x \times \frac{10^{4}}{7.64554857984}

Cancel factors on both sides

Cancel factors

\frac{{10^{5}}^{10}}{3.636872} = x \times \frac{10^{4}}{7.64554857984}

Switch sides

x \times \frac{1.0}{7.64554857984} = \frac{10.0}{3.636872}

Isolate

x

Multiply both sides by

(\frac{7.64554857984}{1.0})

x \times \frac{1.0}{7.64554857984} \times \frac{7.64554857984}{1.0} = \frac{10.0}{3.636872} \times \frac{7.64554857984}{1.0}

Cancel

x \times \frac{1.0 \times 7.64554857984}{7.64554857984 \times 1.0} = \frac{10.0 \times 7.64554857984}{3.636872 \times 1.0}

Simplify

x = \frac{10.0 \times 7.64554857984}{3.636872}

Solve

x

x \approx 21.022319674 \approx 21.0223

Conversion Equation

1.0 (\frac{t o n}{b u s h e l}) \approx 21.0223 (\frac{t o n}{c u b i c y a r d})

View All Examples