Convert barrel to bushel

Learn how to convert 1 barrel to bushel step by step.

Calculation Breakdown

Set up the equation

1.0 (b a r r e l) = x (b u s h e l)

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 a r r e l) = 0.16365924 (c u b i c m e t e r) = 0.16365924 (m^{3})

Right 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})

Insert known values into the conversion equation to determine

x

1.0 (b a r r e l) = x (b u s h e l)

Insert known values =>

1.0 \times 0.16365924 \times (c u b i c m e t e r) = x \times 3.523907016688 \times 10^{- 2} \times (c u b i c m e t e r)

Or

1.0 \cdot 0.16365924 \cdot (m^{3}) = x \cdot 3.523907016688 \times 10^{- 2} \cdot (m^{3})

Cancel SI units

1.0 \times 0.16365924 \cdot (m^{3}) = x \times 3.523907016688 \times 10^{- 2} \times (m^{3})

Conversion Equation

0.16365924 = x \times 3.523907016688 \times 10^{- 2}

Switch sides

x \times 3.523907016688 \times 10^{- 2} = 0.16365924

Isolate

x

Multiply both sides by

(\frac{1.0}{3.523907016688 \times 10^{- 2}})

x \times 3.523907016688 \times 10^{- 2} \times \frac{1.0}{3.523907016688 \times 10^{- 2}} = 0.16365924 \times \frac{1.0}{3.523907016688 \times 10^{- 2}}

Cancel

x \times 3.523907016688 \times 10^{- 2} \times \frac{1.0}{3.523907016688 \times 10^{- 2}} = 0.16365924 \times \frac{1.0}{3.523907016688 \times 10^{- 2}}

Simplify

x = \frac{0.16365924}{3.523907016688 \times 10^{- 2}}

Rewrite equation

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

Rewrite

x = \frac{10^{2} \times 0.16365924}{3.523907016688}

Solve

x

x \approx 4.6442553457 \approx 4.6443

Conversion Equation

1.0 (b a r r e l) \approx 4.6443 (b u s h e l)

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