Convert ton / cubic meter to gram / ounce

Learn how to convert 1 ton / cubic meter to gram / ounce step by step.

Calculation Breakdown

Set up the equation

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

Right side: 1.0 (\frac{g r a m}{o u n c e}) = \frac{1.0}{2.95735295625 \times 10^{- 2}} (\frac{k i l o g r a m}{c u b i c m e t e r}) = \frac{1.0}{2.95735295625 \times 10^{- 2}} (\frac{k g}{m^{3}})

Insert known values into the conversion equation to determine

x

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

Insert known values =>

1.0 \times 10^{3} \times (\frac{k i l o g r a m}{c u b i c m e t e r}) = x \times \frac{1.0}{2.95735295625 \times 10^{- 2}} \times (\frac{k i l o g r a m}{c u b i c m e t e r})

Or

1.0 \cdot 10^{3} \cdot (\frac{k g}{m^{3}}) = x \cdot \frac{1.0}{2.95735295625 \times 10^{- 2}} \cdot (\frac{k g}{m^{3}})

Cancel SI units

1.0 \times 10^{3} \cdot (\frac{k g}{m^{3}}) = x \times \frac{1.0}{2.95735295625 \times 10^{- 2}} \times (\frac{k g}{m^{3}})

Conversion Equation

10^{3} = x \times \frac{1.0}{2.95735295625 \times 10^{- 2}}

Switch sides

x \times \frac{1.0}{2.95735295625 \times 10^{- 2}} = 10^{3}

Isolate

x

Multiply both sides by

(\frac{2.95735295625 \times 10^{- 2}}{1.0})

x \times \frac{1.0}{2.95735295625 \times 10^{- 2}} \times \frac{2.95735295625 \times 10^{- 2}}{1.0} = 10^{3} \times \frac{2.95735295625 \times 10^{- 2}}{1.0}

Cancel

x \times \frac{1.0 \times 2.95735295625 \times 10^{- 2}}{2.95735295625 \times 10^{- 2} \times 1.0} = {10^{3}}^{10} \times \frac{2.95735295625 \times 10^{- 2}}{1.0}

Simplify

x = 10.0 \times 2.95735295625

Solve

x

x = 29.573529563 \approx 29.5735

Conversion Equation

1.0 (\frac{t o n}{c u b i c m e t e r}) \approx 29.5735 (\frac{g r a m}{o u n c e})

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