Convert pound / fluid-ounce to ton / cubic meter

Learn how to convert 1 pound / fluid-ounce to ton / cubic meter step by step.

Calculation Breakdown

Set up the equation

1.0 (\frac{p o u n d}{f l u i d - o u n c e}) = 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{p o u n d}{f l u i d - o u n c e}) = \frac{5.0}{2.84130625 \times 10^{- 4}} (\frac{k i l o g r a m}{c u b i c m e t e r}) = \frac{5.0}{2.84130625 \times 10^{- 4}} (\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{p o u n d}{f l u i d - o u n c e}) = x (\frac{t o n}{c u b i c m e t e r})

Insert known values =>

1.0 \times \frac{5.0}{2.84130625 \times 10^{- 4}} \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{5.0}{2.84130625 \times 10^{- 4}} \cdot (\frac{k g}{m^{3}}) = x \cdot 10^{3} \cdot (\frac{k g}{m^{3}})

Cancel SI units

1.0 \times \frac{5.0}{2.84130625 \times 10^{- 4}} \cdot (\frac{k g}{m^{3}}) = x \times 10^{3} \times (\frac{k g}{m^{3}})

Conversion Equation

\frac{5.0}{2.84130625 \times 10^{- 4}} = x \times 10^{3}

Switch sides

x \times 10^{3} = \frac{5.0}{2.84130625 \times 10^{- 4}}

Isolate

x

Multiply both sides by

(\frac{1.0}{10^{3}})

x \times 10^{3} \times \frac{1.0}{10^{3}} = \frac{5.0}{2.84130625 \times 10^{- 4}} \times \frac{1.0}{10^{3}}

Cancel

x \times 10^{3} \times \frac{1.0}{10^{3}} = \frac{5.0 \times 1.0}{2.84130625 \times {10^{- 4}}^{10^{- 1}} \times 10^{3}}

Simplify

x = \frac{5.0}{2.84130625 \times 10^{- 1}}

Rewrite equation

\frac{1.0}{10^{- 1}} can be rewritten to 10

Rewrite

x = \frac{10.0 \times 5.0}{2.84130625}

Solve

x

x \approx 17.597539864 \approx 17.5975

Conversion Equation

1.0 (\frac{p o u n d}{f l u i d - o u n c e}) \approx 17.5975 (\frac{t o n}{c u b i c m e t e r})

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