Convert cubic yard to gallon

Learn how to convert 1 cubic yard to gallon step by step.

Calculation Breakdown

Set up the equation

1.0 (c u b i c y a r d) = 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 (c u b i c y a r d) = 7.64554857984 \times 10^{- 1} (c u b i c m e t e r) = 7.64554857984 \times 10^{- 1} (m^{3})

Right side: 1.0 (g a l l o n) = 4.54609 \times 10^{- 3} (c u b i c m e t e r) = 4.54609 \times 10^{- 3} (m^{3})

Insert known values into the conversion equation to determine

x

1.0 (c u b i c y a r d) = x (g a l l o n)

Insert known values =>

1.0 \times 7.64554857984 \times 10^{- 1} \times (c u b i c m e t e r) = x \times 4.54609 \times 10^{- 3} \times (c u b i c m e t e r)

Or

1.0 \cdot 7.64554857984 \times 10^{- 1} \cdot (m^{3}) = x \cdot 4.54609 \times 10^{- 3} \cdot (m^{3})

Cancel SI units

1.0 \times 7.64554857984 \times 10^{- 1} \cdot (m^{3}) = x \times 4.54609 \times 10^{- 3} \times (m^{3})

Conversion Equation

7.64554857984 \times 10^{- 1} = x \times 4.54609 \times 10^{- 3}

Cancel factors on both sides

Cancel factors

7.64554857984 \times 10^{- 1} = x \times 4.54609 \times {10^{- 3}}^{10^{- 2}}

Simplify

7.64554857984 = x \times 4.54609 \times 10^{- 2}

Switch sides

x \times 4.54609 \times 10^{- 2} = 7.64554857984

Isolate

x

Multiply both sides by

(\frac{1.0}{4.54609 \times 10^{- 2}})

x \times 4.54609 \times 10^{- 2} \times \frac{1.0}{4.54609 \times 10^{- 2}} = 7.64554857984 \times \frac{1.0}{4.54609 \times 10^{- 2}}

Cancel

x \times 4.54609 \times 10^{- 2} \times \frac{1.0}{4.54609 \times 10^{- 2}} = 7.64554857984 \times \frac{1.0}{4.54609 \times 10^{- 2}}

Simplify

x = \frac{7.64554857984}{4.54609 \times 10^{- 2}}

Rewrite equation

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

Rewrite

x = \frac{10^{2} \times 7.64554857984}{4.54609}

Solve

x

x \approx 168.17855739 \approx 1.6818 \times 10^{2}

Conversion Equation

1.0 (c u b i c y a r d) \approx 1.6818 \times 10^{2} (g a l l o n)

View All Examples