Convert gram / gallon to kilogram / cubic meter

Learn how to convert 1 gram / gallon to kilogram / cubic meter step by step.

Calculation Breakdown

Set up the equation

1.0 (\frac{g r a m}{g a l l o n}) = x (\frac{k i l o g r a m}{c u b i c m e t e r})

Define the base values of the selected units in relation to the SI unit

(\frac{k i l o g r a m}{c u b i c m e t e r})

Left side: 1.0 (\frac{g r a m}{g a l l o n}) = \frac{1.0}{4.54609} (\frac{k i l o g r a m}{c u b i c m e t e r}) = \frac{1.0}{4.54609} (\frac{k g}{m^{3}})

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

Define the values of the selected prefixes

Right side: \frac{k i l o}{1.0} = \frac{k}{1.0} = \frac{10^{3}}{1.0}

Insert known values into the conversion equation to determine

x

1.0 (\frac{g r a m}{g a l l o n}) = x (\frac{k i l o g r a m}{c u b i c m e t e r})

Insert known values =>

1.0 \times \frac{1.0}{4.54609} \times (\frac{k i l o g r a m}{c u b i c m e t e r}) = x \times \frac{10^{3}}{1.0} \times 10^{- 3} \times (\frac{k i l o g r a m}{c u b i c m e t e r})

Or

1.0 \cdot \frac{1.0}{4.54609} \cdot (\frac{k g}{m^{3}}) = x \cdot \frac{10^{3}}{1.0} \times 10^{- 3} \cdot (\frac{k g}{m^{3}})

Cancel SI units

1.0 \times \frac{1.0}{4.54609} \cdot (\frac{k g}{m^{3}}) = x \times \frac{10^{3}}{1.0} \times 10^{- 3} \times (\frac{k g}{m^{3}})

Conversion Equation

\frac{1.0}{4.54609} = x \times 10^{- 3} \times \frac{10^{3}}{1.0}

Simplify

\frac{1.0}{4.54609} = x

Switch sides

x = \frac{1.0}{4.54609}

Solve

x

x \approx 0.2199692483 \approx 2.1997 \times 10^{- 1}

Conversion Equation

1.0 (\frac{g r a m}{g a l l o n}) \approx 2.1997 \times 10^{- 1} (\frac{k i l o g r a m}{c u b i c m e t e r})

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