Convert grain / cubic to tonne / liter

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

Calculation Breakdown

Set up the equation

1.0 (\frac{g r a i n}{c u b i c}) = x (\frac{t o n n e}{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}) = \frac{6.479891 \times 10^{- 5}}{4168181825.44058} (\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}}{4168181825.44058} (\frac{k g}{m^{3}})

Right side: 1.0 (\frac{t o n n e}{l i t e r}) = \frac{1016.0469088}{10^{- 3}} (\frac{k i l o g r a m}{c u b i c m e t e r}) = \frac{1016.0469088}{10^{- 3}} (\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}) = x (\frac{t o n n e}{l i t e r})

Insert known values =>

1.0 \times \frac{6.479891 \times 10^{- 5}}{4168181825.44058} \times (\frac{k i l o g r a m}{c u b i c m e t e r}) = x \times \frac{1016.0469088}{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{6.479891 \times 10^{- 5}}{4168181825.44058} \cdot (\frac{k g}{m^{3}}) = x \cdot \frac{1016.0469088}{10^{- 3}} \cdot (\frac{k g}{m^{3}})

Cancel SI units

1.0 \times \frac{6.479891 \times 10^{- 5}}{4168181825.44058} \cdot (\frac{k g}{m^{3}}) = x \times \frac{1016.0469088}{10^{- 3}} \times (\frac{k g}{m^{3}})

Conversion Equation

\frac{6.479891 \times 10^{- 5}}{4168181825.44058} = x \times \frac{1016.0469088}{10^{- 3}}

Switch sides

x \times \frac{1016.0469088}{10^{- 3}} = \frac{6.479891 \times 10^{- 5}}{4168181825.44058}

Isolate

x

Multiply both sides by

(\frac{10^{- 3}}{1016.0469088})

x \times \frac{1016.0469088}{10^{- 3}} \times \frac{10^{- 3}}{1016.0469088} = \frac{6.479891 \times 10^{- 5}}{4168181825.44058} \times \frac{10^{- 3}}{1016.0469088}

Cancel

x \times \frac{1016.0469088 \times 10^{- 3}}{10^{- 3} \times 1016.0469088} = \frac{6.479891 \times 10^{- 5} \times 10^{- 3}}{4168181825.44058 \times 1016.0469088}

Simplify

x = \frac{6.479891 \times 10^{- 5} \times 10^{- 3}}{4168181825.44058 \times 1016.0469088}

Solve

x

x \approx 1.5300558583 \times 10^{- 20} \approx 1.5301 \times 10^{- 20}

Conversion Equation

1.0 (\frac{g r a i n}{c u b i c}) \approx 1.5301 \times 10^{- 20} (\frac{t o n n e}{l i t e r})

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