Convert pound / barrel to pound / bushel

Learn how to convert 1 pound / barrel to pound / bushel step by step.

Calculation Breakdown

Set up the equation

1.0 (\frac{p o u n d}{b a r r e l}) = x (\frac{p o u n d}{b u s h 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{p o u n d}{b a r r e l}) = \frac{5.0}{1.19240471196} (\frac{k i l o g r a m}{c u b i c m e t e r}) = \frac{5.0}{1.19240471196} (\frac{k g}{m^{3}})

Right side: 1.0 (\frac{p o u n d}{b u s h e l}) = \frac{45.359237}{3.636872} (\frac{k i l o g r a m}{c u b i c m e t e r}) = \frac{45.359237}{3.636872} (\frac{k g}{m^{3}})

Insert known values into the conversion equation to determine

x

1.0 (\frac{p o u n d}{b a r r e l}) = x (\frac{p o u n d}{b u s h e l})

Insert known values =>

1.0 \times \frac{5.0}{1.19240471196} \times (\frac{k i l o g r a m}{c u b i c m e t e r}) = x \times \frac{45.359237}{3.636872} \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{5.0}{1.19240471196} \cdot (\frac{k g}{m^{3}}) = x \cdot \frac{45.359237}{3.636872} \cdot (\frac{k g}{m^{3}})

Cancel SI units

1.0 \times \frac{5.0}{1.19240471196} \cdot (\frac{k g}{m^{3}}) = x \times \frac{45.359237}{3.636872} \times (\frac{k g}{m^{3}})

Conversion Equation

\frac{5.0}{1.19240471196} = x \times \frac{45.359237}{3.636872}

Switch sides

x \times \frac{45.359237}{3.636872} = \frac{5.0}{1.19240471196}

Isolate

x

Multiply both sides by

(\frac{3.636872}{45.359237})

x \times \frac{45.359237}{3.636872} \times \frac{3.636872}{45.359237} = \frac{5.0}{1.19240471196} \times \frac{3.636872}{45.359237}

Cancel

x \times \frac{45.359237 \times 3.636872}{3.636872 \times 45.359237} = \frac{5.0 \times 3.636872}{1.19240471196 \times 45.359237}

Simplify

x = \frac{5.0 \times 3.636872}{1.19240471196 \times 45.359237}

Solve

x

x \approx 0.3362084284 \approx 3.3621 \times 10^{- 1}

Conversion Equation

1.0 (\frac{p o u n d}{b a r r e l}) \approx 3.3621 \times 10^{- 1} (\frac{p o u n d}{b u s h e l})

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