Convert gram / barrel to ounce / cubic meter

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

Calculation Breakdown

Set up the equation

1.0 (\frac{g r a m}{b a r r e l}) = x (\frac{o u n c e}{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{g r a m}{b a r r e l}) = \frac{10^{- 2}}{1.19240471196} (\frac{k i l o g r a m}{c u b i c m e t e r}) = \frac{10^{- 2}}{1.19240471196} (\frac{k g}{m^{3}})

Right side: 1.0 (\frac{o u n c e}{c u b i c m e t e r}) = 2.8349523125 \times 10^{- 2} (\frac{k i l o g r a m}{c u b i c m e t e r}) = 2.8349523125 \times 10^{- 2} (\frac{k g}{m^{3}})

Insert known values into the conversion equation to determine

x

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

Insert known values =>

1.0 \times \frac{10^{- 2}}{1.19240471196} \times (\frac{k i l o g r a m}{c u b i c m e t e r}) = x \times 2.8349523125 \times 10^{- 2} \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^{- 2}}{1.19240471196} \cdot (\frac{k g}{m^{3}}) = x \cdot 2.8349523125 \times 10^{- 2} \cdot (\frac{k g}{m^{3}})

Cancel SI units

1.0 \times \frac{10^{- 2}}{1.19240471196} \cdot (\frac{k g}{m^{3}}) = x \times 2.8349523125 \times 10^{- 2} \times (\frac{k g}{m^{3}})

Conversion Equation

\frac{10^{- 2}}{1.19240471196} = x \times 2.8349523125 \times 10^{- 2}

Cancel factors on both sides

Cancel factors

\frac{10^{- 2}}{1.19240471196} = x \times 2.8349523125 \times 10^{- 2}

Simplify

\frac{1.0}{1.19240471196} = x \times 2.8349523125

Switch sides

x \times 2.8349523125 = \frac{1.0}{1.19240471196}

Isolate

x

Multiply both sides by

(\frac{1.0}{2.8349523125})

x \times 2.8349523125 \times \frac{1.0}{2.8349523125} = \frac{1.0}{1.19240471196} \times \frac{1.0}{2.8349523125}

Cancel

x \times 2.8349523125 \times \frac{1.0}{2.8349523125} = \frac{1.0 \times 1.0}{1.19240471196 \times 2.8349523125}

Simplify

x = \frac{1.0}{1.19240471196 \times 2.8349523125}

Solve

x

x \approx 0.295822061 \approx 2.9582 \times 10^{- 1}

Conversion Equation

1.0 (\frac{g r a m}{b a r r e l}) \approx 2.9582 \times 10^{- 1} (\frac{o u n c e}{c u b i c m e t e r})

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