Convert ton / cubic meter to ton / barrel

Learn how to convert 1 ton / cubic meter to ton / barrel step by step.

Calculation Breakdown

Set up the equation

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

Right side: 1.0 (\frac{t o n}{b a r r e l}) = \frac{10^{4}}{1.6365924} (\frac{k i l o g r a m}{c u b i c m e t e r}) = \frac{10^{4}}{1.6365924} (\frac{k g}{m^{3}})

Insert known values into the conversion equation to determine

x

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

Insert known values =>

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}) = x \times \frac{10^{4}}{1.6365924} \times (\frac{k i l o g r a m}{c u b i c m e t e r})

Or

1.0 \cdot 10^{3} \cdot (\frac{k g}{m^{3}}) = x \cdot \frac{10^{4}}{1.6365924} \cdot (\frac{k g}{m^{3}})

Cancel SI units

1.0 \times 10^{3} \cdot (\frac{k g}{m^{3}}) = x \times \frac{10^{4}}{1.6365924} \times (\frac{k g}{m^{3}})

Conversion Equation

10^{3} = x \times \frac{10^{4}}{1.6365924}

Cancel factors on both sides

Cancel factors

10^{3} = x \times \frac{{10^{4}}^{10}}{1.6365924}

Simplify

1.0 = x \times \frac{10.0}{1.6365924}

Switch sides

x \times \frac{10.0}{1.6365924} = 1.0

Isolate

x

Multiply both sides by

(\frac{1.6365924}{10.0})

x \times \frac{10.0}{1.6365924} \times \frac{1.6365924}{10.0} = \times \frac{1.6365924}{10.0}

Cancel

x \times \frac{10.0 \times 1.6365924}{1.6365924 \times 10.0} = \frac{1.6365924}{10.0}

Simplify

x = \frac{1.6365924}{10.0}

Solve

x

x = 0.16365924 \approx 1.6366 \times 10^{- 1}

Conversion Equation

1.0 (\frac{t o n}{c u b i c m e t e r}) \approx 1.6366 \times 10^{- 1} (\frac{t o n}{b a r r e l})

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