Convert barrel to gallon

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

Calculation Breakdown

Set up the equation

1.0 (b a r r e l) = x (g a l l o n)

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) = 0.158987294928 (c u b i c m e t e r) = 0.158987294928 (m^{3})

Right side: 1.0 (g a l l o n) = 3.785411784 \times 10^{- 3} (c u b i c m e t e r) = 3.785411784 \times 10^{- 3} (m^{3})

Insert known values into the conversion equation to determine

x

1.0 (b a r r e l) = x (g a l l o n)

Insert known values =>

1.0 \times 0.158987294928 \times (c u b i c m e t e r) = x \times 3.785411784 \times 10^{- 3} \times (c u b i c m e t e r)

Or

1.0 \cdot 0.158987294928 \cdot (m^{3}) = x \cdot 3.785411784 \times 10^{- 3} \cdot (m^{3})

Cancel SI units

1.0 \times 0.158987294928 \cdot (m^{3}) = x \times 3.785411784 \times 10^{- 3} \times (m^{3})

Conversion Equation

0.158987294928 = x \times 3.785411784 \times 10^{- 3}

Switch sides

x \times 3.785411784 \times 10^{- 3} = 0.158987294928

Isolate

x

Multiply both sides by

(\frac{1.0}{3.785411784 \times 10^{- 3}})

x \times 3.785411784 \times 10^{- 3} \times \frac{1.0}{3.785411784 \times 10^{- 3}} = 0.158987294928 \times \frac{1.0}{3.785411784 \times 10^{- 3}}

Cancel

x \times 3.785411784 \times 10^{- 3} \times \frac{1.0}{3.785411784 \times 10^{- 3}} = 0.158987294928 \times \frac{1.0}{3.785411784 \times 10^{- 3}}

Simplify

x = \frac{0.158987294928}{3.785411784 \times 10^{- 3}}

Rewrite equation

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

Rewrite

x = \frac{10^{3} \times 0.158987294928}{3.785411784}

Solve

x

x = 42

Conversion Equation

1.0 (b a r r e l) = 42 (g a l l o n)

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