Convert gallon to barrel

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

Calculation Breakdown

Set up the equation

1.0 (g a l l o n) = x (b a r r 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 (g a l l o n) = 4.621152048 \times 10^{- 3} (c u b i c m e t e r) = 4.621152048 \times 10^{- 3} (m^{3})

Right 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})

Insert known values into the conversion equation to determine

x

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

Insert known values =>

1.0 \times 4.621152048 \times 10^{- 3} \times (c u b i c m e t e r) = x \times 0.158987294928 \times (c u b i c m e t e r)

Or

1.0 \cdot 4.621152048 \times 10^{- 3} \cdot (m^{3}) = x \cdot 0.158987294928 \cdot (m^{3})

Cancel SI units

1.0 \times 4.621152048 \times 10^{- 3} \cdot (m^{3}) = x \times 0.158987294928 \times (m^{3})

Conversion Equation

4.621152048 \times 10^{- 3} = x \times 0.158987294928

Switch sides

x \times 0.158987294928 = 4.621152048 \times 10^{- 3}

Isolate

x

Multiply both sides by

(\frac{1.0}{0.158987294928})

x \times 0.158987294928 \times \frac{1.0}{0.158987294928} = 4.621152048 \times 10^{- 3} \times \frac{1.0}{0.158987294928}

Cancel

x \times 0.158987294928 \times \frac{1.0}{0.158987294928} = 4.621152048 \times 10^{- 3} \times \frac{1.0}{0.158987294928}

Simplify

x = \frac{4.621152048 \times 10^{- 3}}{0.158987294928}

Solve

x

x \approx 0.0290661719 \approx 2.9066 \times 10^{- 2}

Conversion Equation

1.0 (g a l l o n) \approx 2.9066 \times 10^{- 2} (b a r r e l)

View All Examples