Convert grain / cubic yard to grain / liter

Learn how to convert 1 grain / cubic yard to grain / liter step by step.

Calculation Breakdown

Set up the equation

1.0 (\frac{g r a i n}{c u b i c y a r d}) = x (\frac{g r a i n}{l i 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 i n}{c u b i c y a r d}) = \frac{6.479891 \times 10^{- 5}}{0.764554857984} (\frac{k i l o g r a m}{c u b i c m e t e r}) = \frac{6.479891 \times 10^{- 5}}{0.764554857984} (\frac{k g}{m^{3}})

Right side: 1.0 (\frac{g r a i n}{l i t e r}) = 6.479891 \times 10^{- 2} (\frac{k i l o g r a m}{c u b i c m e t e r}) = 6.479891 \times 10^{- 2} (\frac{k g}{m^{3}})

Insert known values into the conversion equation to determine

x

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

Insert known values =>

1.0 \times \frac{6.479891 \times 10^{- 5}}{0.764554857984} \times (\frac{k i l o g r a m}{c u b i c m e t e r}) = x \times 6.479891 \times 10^{- 2} \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{6.479891 \times 10^{- 5}}{0.764554857984} \cdot (\frac{k g}{m^{3}}) = x \cdot 6.479891 \times 10^{- 2} \cdot (\frac{k g}{m^{3}})

Cancel SI units

1.0 \times \frac{6.479891 \times 10^{- 5}}{0.764554857984} \cdot (\frac{k g}{m^{3}}) = x \times 6.479891 \times 10^{- 2} \times (\frac{k g}{m^{3}})

Conversion Equation

\frac{6.479891 \times 10^{- 5}}{0.764554857984} = x \times 6.479891 \times 10^{- 2}

Cancel factors on both sides

Cancel factors

\frac{6.479891 \times {10^{- 5}}^{10^{- 3}}}{0.764554857984} = x \times 6.479891 \times 10^{- 2}

Simplify

\frac{10^{- 3}}{0.764554857984} = x

Switch sides

x = \frac{10^{- 3}}{0.764554857984}

Solve

x

x \approx 0.0013079506 \approx 1.308 \times 10^{- 3}

Conversion Equation

1.0 (\frac{g r a i n}{c u b i c y a r d}) \approx 1.308 \times 10^{- 3} (\frac{g r a i n}{l i t e r})

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