# Convert diesel to to(升)

Learn how to convert 1 diesel to to(升) step by step.

## Calculation Breakdown

Set up the equation
$$1.0\left(diesel\right)={\color{rgb(20,165,174)} x}\left(to(升)\right)$$
Define the base values of the selected units in relation to the SI unit $$\left(cubic \text{ } meter\right)$$
$$\text{Left side: 1.0 } \left(diesel\right) = {\color{rgb(89,182,91)} \dfrac{10.0}{8.5}\left(cubic \text{ } meter\right)} = {\color{rgb(89,182,91)} \dfrac{10.0}{8.5}\left(m^{3}\right)}$$
$$\text{Right side: 1.0 } \left(to(升)\right) = {\color{rgb(125,164,120)} \dfrac{2.401}{1.331 \times 10^{2}}\left(cubic \text{ } meter\right)} = {\color{rgb(125,164,120)} \dfrac{2.401}{1.331 \times 10^{2}}\left(m^{3}\right)}$$
Insert known values into the conversion equation to determine $${\color{rgb(20,165,174)} x}$$
$$1.0\left(diesel\right)={\color{rgb(20,165,174)} x}\left(to(升)\right)$$
$$\text{Insert known values } =>$$
$$1.0 \times {\color{rgb(89,182,91)} \dfrac{10.0}{8.5}} \times {\color{rgb(89,182,91)} \left(cubic \text{ } meter\right)} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} \dfrac{2.401}{1.331 \times 10^{2}}}} \times {\color{rgb(125,164,120)} \left(cubic \text{ } meter\right)}$$
$$\text{Or}$$
$$1.0 \cdot {\color{rgb(89,182,91)} \dfrac{10.0}{8.5}} \cdot {\color{rgb(89,182,91)} \left(m^{3}\right)} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} \dfrac{2.401}{1.331 \times 10^{2}}} \cdot {\color{rgb(125,164,120)} \left(m^{3}\right)}$$
$$\text{Cancel SI units}$$
$$1.0 \times {\color{rgb(89,182,91)} \dfrac{10.0}{8.5}} \cdot {\color{rgb(89,182,91)} \cancel{\left(m^{3}\right)}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} \dfrac{2.401}{1.331 \times 10^{2}}} \times {\color{rgb(125,164,120)} \cancel{\left(m^{3}\right)}}$$
$$\text{Conversion Equation}$$
$$\dfrac{10.0}{8.5} = {\color{rgb(20,165,174)} x} \times \dfrac{2.401}{1.331 \times 10^{2}}$$
Switch sides
$${\color{rgb(20,165,174)} x} \times \dfrac{2.401}{1.331 \times 10^{2}} = \dfrac{10.0}{8.5}$$
Isolate $${\color{rgb(20,165,174)} x}$$
Multiply both sides by $$\left(\dfrac{1.331 \times 10^{2}}{2.401}\right)$$
$${\color{rgb(20,165,174)} x} \times \dfrac{2.401}{1.331 \times 10^{2}} \times \dfrac{1.331 \times 10^{2}}{2.401} = \dfrac{10.0}{8.5} \times \dfrac{1.331 \times 10^{2}}{2.401}$$
$$\text{Cancel}$$
$${\color{rgb(20,165,174)} x} \times \dfrac{{\color{rgb(255,204,153)} \cancel{2.401}} \times {\color{rgb(99,194,222)} \cancel{1.331}} \times {\color{rgb(166,218,227)} \cancel{10^{2}}}}{{\color{rgb(99,194,222)} \cancel{1.331}} \times {\color{rgb(166,218,227)} \cancel{10^{2}}} \times {\color{rgb(255,204,153)} \cancel{2.401}}} = \dfrac{10.0 \times 1.331 \times 10^{2}}{8.5 \times 2.401}$$
$$\text{Simplify}$$
$${\color{rgb(20,165,174)} x} = \dfrac{10.0 \times 1.331 \times 10^{2}}{8.5 \times 2.401}$$
Solve $${\color{rgb(20,165,174)} x}$$
$${\color{rgb(20,165,174)} x}\approx65.217923904\approx65.2179$$
$$\text{Conversion Equation}$$
$$1.0\left(diesel\right)\approx{\color{rgb(20,165,174)} 65.2179}\left(to(升)\right)$$