Convert ton / barrel to ton / cubic meter

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

Calculation Breakdown

Set up the equation

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

Right 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}})

Insert known values into the conversion equation to determine

x

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

Insert known values =>

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

Cancel SI units

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

Conversion Equation

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

Cancel factors on both sides

Cancel factors

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

Simplify

\frac{10.0}{1.6365924} = x

Switch sides

x = \frac{10.0}{1.6365924}

Solve

x

x \approx 6.1102568972 \approx 6.1103

Conversion Equation

1.0 (\frac{t o n}{b a r r e l}) \approx 6.1103 (\frac{t o n}{c u b i c m e t e r})

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