Convert bushel to cubic inch

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

Calculation Breakdown

Set up the equation

1.0 (b u s h e l) = x (c u b i c i n c h)

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

(c u b i c m e t e r)

Left side: 1.0 (b u s h e l) = 3.523907016688 \times 10^{- 2} (c u b i c m e t e r) = 3.523907016688 \times 10^{- 2} (m^{3})

Right side: 1.0 (c u b i c i n c h) = 1.6387064 \times 10^{- 5} (c u b i c m e t e r) = 1.6387064 \times 10^{- 5} (m^{3})

Insert known values into the conversion equation to determine

x

1.0 (b u s h e l) = x (c u b i c i n c h)

Insert known values =>

1.0 \times 3.523907016688 \times 10^{- 2} \times (c u b i c m e t e r) = x \times 1.6387064 \times 10^{- 5} \times (c u b i c m e t e r)

Or

1.0 \cdot 3.523907016688 \times 10^{- 2} \cdot (m^{3}) = x \cdot 1.6387064 \times 10^{- 5} \cdot (m^{3})

Cancel SI units

1.0 \times 3.523907016688 \times 10^{- 2} \cdot (m^{3}) = x \times 1.6387064 \times 10^{- 5} \times (m^{3})

Conversion Equation

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

Cancel factors on both sides

Cancel factors

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

Simplify

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

Switch sides

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

Isolate

x

Multiply both sides by

(\frac{1.0}{1.6387064 \times 10^{- 3}})

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

Cancel

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

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

View All Examples