Convert cubic meter to gallon

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

Calculation Breakdown

Set up the equation

1.0 (c u b i c m e t e r) = 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 m e t e r) = 1.0 (c u b i c m e t e r) = 1.0 (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 (c u b i c m e t e r) = x (g a l l o n)

Insert known values =>

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

Cancel SI units

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

Conversion Equation

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

Simplify

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

Switch sides

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

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

Simplify

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

Rewrite equation

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

Rewrite

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

Solve

x

x \approx 264.17205236 \approx 2.6417 \times 10^{2}

Conversion Equation

1.0 (c u b i c m e t e r) \approx 2.6417 \times 10^{2} (g a l l o n)

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