Convert ton / cubic inch to ton / bushel

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

Calculation Breakdown

Set up the equation

1.0 (\frac{t o n}{c u b i c i n c h}) = 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 i n c h}) = \frac{10^{3}}{1.6387064 \times 10^{- 5}} (\frac{k i l o g r a m}{c u b i c m e t e r}) = \frac{10^{3}}{1.6387064 \times 10^{- 5}} (\frac{k g}{m^{3}})

Right side: 1.0 (\frac{t o n}{b u s h e l}) = \frac{10^{5}}{3.523907016688} (\frac{k i l o g r a m}{c u b i c m e t e r}) = \frac{10^{5}}{3.523907016688} (\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 i n c h}) = x (\frac{t o n}{b u s h e l})

Insert known values =>

1.0 \times \frac{10^{3}}{1.6387064 \times 10^{- 5}} \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}}{3.523907016688} \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}}{1.6387064 \times 10^{- 5}} \cdot (\frac{k g}{m^{3}}) = x \cdot \frac{10^{5}}{3.523907016688} \cdot (\frac{k g}{m^{3}})

Cancel SI units

1.0 \times \frac{10^{3}}{1.6387064 \times 10^{- 5}} \cdot (\frac{k g}{m^{3}}) = x \times \frac{10^{5}}{3.523907016688} \times (\frac{k g}{m^{3}})

Conversion Equation

\frac{10^{3}}{1.6387064 \times 10^{- 5}} = x \times \frac{10^{5}}{3.523907016688}

Cancel factors on both sides

Cancel factors

\frac{10^{3}}{1.6387064 \times 10^{- 5}} = x \times \frac{{10^{5}}^{10^{2}}}{3.523907016688}

Switch sides

x \times \frac{10^{2}}{3.523907016688} = \frac{1.0}{1.6387064 \times 10^{- 5}}

Isolate

x

Multiply both sides by

(\frac{3.523907016688}{10^{2}})

x \times \frac{10^{2}}{3.523907016688} \times \frac{3.523907016688}{10^{2}} = \frac{1.0}{1.6387064 \times 10^{- 5}} \times \frac{3.523907016688}{10^{2}}

Cancel

x \times \frac{10^{2} \times 3.523907016688}{3.523907016688 \times 10^{2}} = \frac{1.0 \times 3.523907016688}{1.6387064 \times {10^{- 5}}^{10^{- 3}} \times 10^{2}}

Simplify

x = \frac{3.523907016688}{1.6387064 \times 10^{- 3}}

Rewrite equation

\frac{1.0}{10^{- 3}} can be rewritten to 10^{3}

Rewrite

x = \frac{10^{3} \times 3.523907016688}{1.6387064}

Solve

x

x = 2150.42 \approx 2.1504 \times 10^{3}

Conversion Equation

1.0 (\frac{t o n}{c u b i c i n c h}) \approx 2.1504 \times 10^{3} (\frac{t o n}{b u s h e l})

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