Convert pound / cubic meter to ounce / gallon

Learn how to convert 1 pound / cubic meter to ounce / gallon step by step.

Calculation Breakdown

Set up the equation

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

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}{c u b i c m e t e r}) = 0.5 (\frac{k i l o g r a m}{c u b i c m e t e r}) = 0.5 (\frac{k g}{m^{3}})

Right side: 1.0 (\frac{o u n c e}{g a l l o n}) = \frac{28.349523125}{4.54609} (\frac{k i l o g r a m}{c u b i c m e t e r}) = \frac{28.349523125}{4.54609} (\frac{k g}{m^{3}})

Insert known values into the conversion equation to determine

x

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

Insert known values =>

1.0 \times 0.5 \times (\frac{k i l o g r a m}{c u b i c m e t e r}) = x \times \frac{28.349523125}{4.54609} \times (\frac{k i l o g r a m}{c u b i c m e t e r})

Or

1.0 \cdot 0.5 \cdot (\frac{k g}{m^{3}}) = x \cdot \frac{28.349523125}{4.54609} \cdot (\frac{k g}{m^{3}})

Cancel SI units

1.0 \times 0.5 \cdot (\frac{k g}{m^{3}}) = x \times \frac{28.349523125}{4.54609} \times (\frac{k g}{m^{3}})

Conversion Equation

0.5 = x \times \frac{28.349523125}{4.54609}

Switch sides

x \times \frac{28.349523125}{4.54609} = 0.5

Isolate

x

Multiply both sides by

(\frac{4.54609}{28.349523125})

x \times \frac{28.349523125}{4.54609} \times \frac{4.54609}{28.349523125} = 0.5 \times \frac{4.54609}{28.349523125}

Cancel

x \times \frac{28.349523125 \times 4.54609}{4.54609 \times 28.349523125} = 0.5 \times \frac{4.54609}{28.349523125}

Simplify

x = \frac{0.5 \times 4.54609}{28.349523125}

Solve

x

x \approx 0.0801793028 \approx 8.0179 \times 10^{- 2}

Conversion Equation

1.0 (\frac{p o u n d}{c u b i c m e t e r}) \approx 8.0179 \times 10^{- 2} (\frac{o u n c e}{g a l l o n})

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