Convert pound / cubic meter to grain / fluid-ounce

Learn how to convert 1 pound / cubic meter to grain / fluid-ounce 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{g r a i n}{f l u i d - o u n c e})

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}) = 0.45359237 (\frac{k i l o g r a m}{c u b i c m e t e r}) = 0.45359237 (\frac{k g}{m^{3}})

Right side: 1.0 (\frac{g r a i n}{f l u i d - o u n c e}) = \frac{6.479891}{2.84130625} (\frac{k i l o g r a m}{c u b i c m e t e r}) = \frac{6.479891}{2.84130625} (\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{g r a i n}{f l u i d - o u n c e})

Insert known values =>

1.0 \times 0.45359237 \times (\frac{k i l o g r a m}{c u b i c m e t e r}) = x \times \frac{6.479891}{2.84130625} \times (\frac{k i l o g r a m}{c u b i c m e t e r})

Or

1.0 \cdot 0.45359237 \cdot (\frac{k g}{m^{3}}) = x \cdot \frac{6.479891}{2.84130625} \cdot (\frac{k g}{m^{3}})

Cancel SI units

1.0 \times 0.45359237 \cdot (\frac{k g}{m^{3}}) = x \times \frac{6.479891}{2.84130625} \times (\frac{k g}{m^{3}})

Conversion Equation

0.45359237 = x \times \frac{6.479891}{2.84130625}

Switch sides

x \times \frac{6.479891}{2.84130625} = 0.45359237

Isolate

x

Multiply both sides by

(\frac{2.84130625}{6.479891})

x \times \frac{6.479891}{2.84130625} \times \frac{2.84130625}{6.479891} = 0.45359237 \times \frac{2.84130625}{6.479891}

Cancel

x \times \frac{6.479891 \times 2.84130625}{2.84130625 \times 6.479891} = 0.45359237 \times \frac{2.84130625}{6.479891}

Simplify

x = \frac{0.45359237 \times 2.84130625}{6.479891}

Solve

x

x = 0.1988914375 \approx 1.9889 \times 10^{- 1}

Conversion Equation

1.0 (\frac{p o u n d}{c u b i c m e t e r}) \approx 1.9889 \times 10^{- 1} (\frac{g r a i n}{f l u i d - o u n c e})

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