# Convert ounce / cubic meter to ton / fluid-ounce

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

## Calculation Breakdown

Set up the equation
$$1.0\left(\dfrac{ounce}{cubic \text{ } meter}\right)={\color{rgb(20,165,174)} x}\left(\dfrac{ton}{fluid-ounce}\right)$$
Define the base values of the selected units in relation to the SI unit $$\left(\dfrac{{\color{rgb(230,179,255)} kilo}gram}{cubic \text{ } meter}\right)$$
$$\text{Left side: 1.0 } \left(\dfrac{ounce}{cubic \text{ } meter}\right) = {\color{rgb(89,182,91)} 2.8349523125 \times 10^{-2}\left(\dfrac{{\color{rgb(230,179,255)} kilo}gram}{cubic \text{ } meter}\right)} = {\color{rgb(89,182,91)} 2.8349523125 \times 10^{-2}\left(\dfrac{{\color{rgb(230,179,255)} k}g}{m^{3}}\right)}$$
$$\text{Right side: 1.0 } \left(\dfrac{ton}{fluid-ounce}\right) = {\color{rgb(125,164,120)} \dfrac{10^{3}}{2.84130625 \times 10^{-5}}\left(\dfrac{{\color{rgb(230,179,255)} kilo}gram}{cubic \text{ } meter}\right)} = {\color{rgb(125,164,120)} \dfrac{10^{3}}{2.84130625 \times 10^{-5}}\left(\dfrac{{\color{rgb(230,179,255)} k}g}{m^{3}}\right)}$$
Insert known values into the conversion equation to determine $${\color{rgb(20,165,174)} x}$$
$$1.0\left(\dfrac{ounce}{cubic \text{ } meter}\right)={\color{rgb(20,165,174)} x}\left(\dfrac{ton}{fluid-ounce}\right)$$
$$\text{Insert known values } =>$$
$$1.0 \times {\color{rgb(89,182,91)} 2.8349523125 \times 10^{-2}} \times {\color{rgb(89,182,91)} \left(\dfrac{{\color{rgb(230,179,255)} kilo}gram}{cubic \text{ } meter}\right)} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} \dfrac{10^{3}}{2.84130625 \times 10^{-5}}}} \times {\color{rgb(125,164,120)} \left(\dfrac{{\color{rgb(230,179,255)} kilo}gram}{cubic \text{ } meter}\right)}$$
$$\text{Or}$$
$$1.0 \cdot {\color{rgb(89,182,91)} 2.8349523125 \times 10^{-2}} \cdot {\color{rgb(89,182,91)} \left(\dfrac{{\color{rgb(230,179,255)} k}g}{m^{3}}\right)} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} \dfrac{10^{3}}{2.84130625 \times 10^{-5}}} \cdot {\color{rgb(125,164,120)} \left(\dfrac{{\color{rgb(230,179,255)} k}g}{m^{3}}\right)}$$
$$\text{Cancel SI units}$$
$$1.0 \times {\color{rgb(89,182,91)} 2.8349523125 \times 10^{-2}} \cdot {\color{rgb(89,182,91)} \cancel{\left(\dfrac{{\color{rgb(230,179,255)} k}g}{m^{3}}\right)}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} \dfrac{10^{3}}{2.84130625 \times 10^{-5}}} \times {\color{rgb(125,164,120)} \cancel{\left(\dfrac{{\color{rgb(230,179,255)} k}g}{m^{3}}\right)}}$$
$$\text{Conversion Equation}$$
$$2.8349523125 \times 10^{-2} = {\color{rgb(20,165,174)} x} \times \dfrac{10^{3}}{2.84130625 \times 10^{-5}}$$
Switch sides
$${\color{rgb(20,165,174)} x} \times \dfrac{10^{3}}{2.84130625 \times 10^{-5}} = 2.8349523125 \times 10^{-2}$$
Isolate $${\color{rgb(20,165,174)} x}$$
Multiply both sides by $$\left(\dfrac{2.84130625 \times 10^{-5}}{10^{3}}\right)$$
$${\color{rgb(20,165,174)} x} \times \dfrac{10^{3}}{2.84130625 \times 10^{-5}} \times \dfrac{2.84130625 \times 10^{-5}}{10^{3}} = 2.8349523125 \times 10^{-2} \times \dfrac{2.84130625 \times 10^{-5}}{10^{3}}$$
$$\text{Cancel}$$
$${\color{rgb(20,165,174)} x} \times \dfrac{{\color{rgb(255,204,153)} \cancel{10^{3}}} \times {\color{rgb(99,194,222)} \cancel{2.84130625}} \times {\color{rgb(166,218,227)} \cancel{10^{-5}}}}{{\color{rgb(99,194,222)} \cancel{2.84130625}} \times {\color{rgb(166,218,227)} \cancel{10^{-5}}} \times {\color{rgb(255,204,153)} \cancel{10^{3}}}} = 2.8349523125 \times 10^{-2} \times \dfrac{2.84130625 \times 10^{-5}}{10^{3}}$$
$$\text{Simplify}$$
$${\color{rgb(20,165,174)} x} = \dfrac{2.8349523125 \times 10^{-2} \times 2.84130625 \times 10^{-5}}{10^{3}}$$
Rewrite equation
$$\dfrac{1.0}{10^{3}}\text{ can be rewritten to }10^{-3}$$
$$\text{Rewrite}$$
$${\color{rgb(20,165,174)} x} = 10^{-3} \times 2.8349523125 \times 10^{-2} \times 2.84130625 \times 10^{-5}$$
$$\text{Simplify}$$
$${\color{rgb(20,165,174)} x} = 10^{-10} \times 2.8349523125 \times 2.84130625$$
Solve $${\color{rgb(20,165,174)} x}$$
$${\color{rgb(20,165,174)} x}\approx8.054967724 \times 10^{-10}\approx8.055 \times 10^{-10}$$
$$\text{Conversion Equation}$$
$$1.0\left(\dfrac{ounce}{cubic \text{ } meter}\right)\approx{\color{rgb(20,165,174)} 8.055 \times 10^{-10}}\left(\dfrac{ton}{fluid-ounce}\right)$$