Convert grain / cubic yard to grain / cubic inch

Learn how to convert 1 grain / cubic yard to grain / cubic inch 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}{c u b i c i n c h})

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}{c u b i c i n c h}) = \frac{6.479891}{1.6387064} (\frac{k i l o g r a m}{c u b i c m e t e r}) = \frac{6.479891}{1.6387064} (\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}{c u b i c i n c h})

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 \frac{6.479891}{1.6387064} \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 \frac{6.479891}{1.6387064} \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 \frac{6.479891}{1.6387064} \times (\frac{k g}{m^{3}})

Conversion Equation

\frac{6.479891 \times 10^{- 5}}{0.764554857984} = x \times \frac{6.479891}{1.6387064}

Cancel factors on both sides

Cancel factors

\frac{6.479891 \times 10^{- 5}}{0.764554857984} = x \times \frac{6.479891}{1.6387064}

Simplify

\frac{10^{- 5}}{0.764554857984} = x \times \frac{1.0}{1.6387064}

Switch sides

x \times \frac{1.0}{1.6387064} = \frac{10^{- 5}}{0.764554857984}

Isolate

x

Multiply both sides by

(\frac{1.6387064}{1.0})

x \times \frac{1.0}{1.6387064} \times \frac{1.6387064}{1.0} = \frac{10^{- 5}}{0.764554857984} \times \frac{1.6387064}{1.0}

Cancel

x \times \frac{1.0 \times 1.6387064}{1.6387064 \times 1.0} = \frac{10^{- 5} \times 1.6387064}{0.764554857984 \times 1.0}

Simplify

x = \frac{10^{- 5} \times 1.6387064}{0.764554857984}

Solve

x

x \approx 0.0000214335 \approx 2.1433 \times 10^{- 5}

Conversion Equation

1.0 (\frac{g r a i n}{c u b i c y a r d}) \approx 2.1433 \times 10^{- 5} (\frac{g r a i n}{c u b i c i n c h})

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