Convert ton / fluid-ounce to ton / cubic meter

Learn how to convert 1 ton / fluid-ounce to ton / 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{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{t o n}{f l u i d - o u n c e}) = \frac{10^{3}}{2.84130625 \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}}{2.84130625 \times 10^{- 5}} (\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{t o n}{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{10^{3}}{2.84130625 \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 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{10^{3}}{2.84130625 \times 10^{- 5}} \cdot (\frac{k g}{m^{3}}) = x \cdot 10^{3} \cdot (\frac{k g}{m^{3}})

Cancel SI units

1.0 \times \frac{10^{3}}{2.84130625 \times 10^{- 5}} \cdot (\frac{k g}{m^{3}}) = x \times 10^{3} \times (\frac{k g}{m^{3}})

Conversion Equation

\frac{10^{3}}{2.84130625 \times 10^{- 5}} = x \times 10^{3}

Cancel factors on both sides

Cancel factors

\frac{10^{3}}{2.84130625 \times 10^{- 5}} = x \times 10^{3}

Simplify

\frac{1.0}{2.84130625 \times 10^{- 5}} = x

Switch sides

x = \frac{1.0}{2.84130625 \times 10^{- 5}}

Rewrite equation

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

Rewrite

x = \frac{10^{5}}{2.84130625}

Solve

x

x \approx 35195.079728 \approx 3.5195 \times 10^{4}

Conversion Equation

1.0 (\frac{t o n}{f l u i d - o u n c e}) \approx 3.5195 \times 10^{4} (\frac{t o n}{c u b i c m e t e r})

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