Convert ton / fluid-ounce to pound / cubic meter

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

Calculation Breakdown

Set up the equation

1.0 (\frac{t o n}{f l u i d - o u n c e}) = x (\frac{p o u n d}{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{t o n}{f l u i d - o u n c e}) = \frac{10^{3}}{2.95735295625 \times 10^{- 5}} (\frac{k i l o g r a m}{c u b i c m e t e r}) = \frac{10^{3}}{2.95735295625 \times 10^{- 5}} (\frac{k g}{m^{3}})

Right 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}})

Insert known values into the conversion equation to determine

x

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

Insert known values =>

1.0 \times \frac{10^{3}}{2.95735295625 \times 10^{- 5}} \times (\frac{k i l o g r a m}{c u b i c m e t e r}) = x \times 0.5 \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^{3}}{2.95735295625 \times 10^{- 5}} \cdot (\frac{k g}{m^{3}}) = x \cdot 0.5 \cdot (\frac{k g}{m^{3}})

Cancel SI units

1.0 \times \frac{10^{3}}{2.95735295625 \times 10^{- 5}} \cdot (\frac{k g}{m^{3}}) = x \times 0.5 \times (\frac{k g}{m^{3}})

Conversion Equation

\frac{10^{3}}{2.95735295625 \times 10^{- 5}} = x \times 0.5

Switch sides

x \times 0.5 = \frac{10^{3}}{2.95735295625 \times 10^{- 5}}

Isolate

x

Multiply both sides by

(\frac{1.0}{0.5})

x \times 0.5 \times \frac{1.0}{0.5} = \frac{10^{3}}{2.95735295625 \times 10^{- 5}} \times \frac{1.0}{0.5}

Cancel

x \times 0.5 \times \frac{1.0}{0.5} = \frac{10^{3} \times 1.0}{2.95735295625 \times 10^{- 5} \times 0.5}

Simplify

x = \frac{10^{3}}{2.95735295625 \times 10^{- 5} \times 0.5}

Rewrite equation

\frac{1.0}{10^{- 5}} can be rewritten to 10^{5}

Rewrite

x = \frac{10^{5} \times 10^{3}}{2.95735295625 \times 0.5}

Simplify

x = \frac{10^{8}}{2.95735295625 \times 0.5}

Solve

x

x \approx 67628045.404 \approx 6.7628 \times 10^{7}

Conversion Equation

1.0 (\frac{t o n}{f l u i d - o u n c e}) \approx 6.7628 \times 10^{7} (\frac{p o u n d}{c u b i c m e t e r})

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