Convert grain / cubic inch to tonne / barrel

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

Calculation Breakdown

Set up the equation

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

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 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}})

Right side: 1.0 (\frac{t o n n e}{b a r r e l}) = \frac{1016.0469088}{0.16365924} (\frac{k i l o g r a m}{c u b i c m e t e r}) = \frac{1016.0469088}{0.16365924} (\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 i n c h}) = x (\frac{t o n n e}{b a r r e l})

Insert known values =>

1.0 \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}) = x \times \frac{1016.0469088}{0.16365924} \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}{1.6387064} \cdot (\frac{k g}{m^{3}}) = x \cdot \frac{1016.0469088}{0.16365924} \cdot (\frac{k g}{m^{3}})

Cancel SI units

1.0 \times \frac{6.479891}{1.6387064} \cdot (\frac{k g}{m^{3}}) = x \times \frac{1016.0469088}{0.16365924} \times (\frac{k g}{m^{3}})

Conversion Equation

\frac{6.479891}{1.6387064} = x \times \frac{1016.0469088}{0.16365924}

Switch sides

x \times \frac{1016.0469088}{0.16365924} = \frac{6.479891}{1.6387064}

Isolate

x

Multiply both sides by

(\frac{0.16365924}{1016.0469088})

x \times \frac{1016.0469088}{0.16365924} \times \frac{0.16365924}{1016.0469088} = \frac{6.479891}{1.6387064} \times \frac{0.16365924}{1016.0469088}

Cancel

x \times \frac{1016.0469088 \times 0.16365924}{0.16365924 \times 1016.0469088} = \frac{6.479891 \times 0.16365924}{1.6387064 \times 1016.0469088}

Simplify

x = \frac{6.479891 \times 0.16365924}{1.6387064 \times 1016.0469088}

Solve

x

x \approx 0.0006369324 \approx 6.3693 \times 10^{- 4}

Conversion Equation

1.0 (\frac{g r a i n}{c u b i c i n c h}) \approx 6.3693 \times 10^{- 4} (\frac{t o n n e}{b a r r e l})

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