# Convert shao(勺) to barrel

Learn how to convert 1 shao(勺) to barrel step by step.

## Calculation Breakdown

Set up the equation
$$1.0\left(shao(勺)\right)={\color{rgb(20,165,174)} x}\left(barrel\right)$$
Define the base values of the selected units in relation to the SI unit $$\left(cubic \text{ } meter\right)$$
$$\text{Left side: 1.0 } \left(shao(勺)\right) = {\color{rgb(89,182,91)} 10^{-5}\left(cubic \text{ } meter\right)} = {\color{rgb(89,182,91)} 10^{-5}\left(m^{3}\right)}$$
$$\text{Right side: 1.0 } \left(barrel\right) = {\color{rgb(125,164,120)} 0.16365924\left(cubic \text{ } meter\right)} = {\color{rgb(125,164,120)} 0.16365924\left(m^{3}\right)}$$
Insert known values into the conversion equation to determine $${\color{rgb(20,165,174)} x}$$
$$1.0\left(shao(勺)\right)={\color{rgb(20,165,174)} x}\left(barrel\right)$$
$$\text{Insert known values } =>$$
$$1.0 \times {\color{rgb(89,182,91)} 10^{-5}} \times {\color{rgb(89,182,91)} \left(cubic \text{ } meter\right)} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} 0.16365924}} \times {\color{rgb(125,164,120)} \left(cubic \text{ } meter\right)}$$
$$\text{Or}$$
$$1.0 \cdot {\color{rgb(89,182,91)} 10^{-5}} \cdot {\color{rgb(89,182,91)} \left(m^{3}\right)} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} 0.16365924} \cdot {\color{rgb(125,164,120)} \left(m^{3}\right)}$$
$$\text{Cancel SI units}$$
$$1.0 \times {\color{rgb(89,182,91)} 10^{-5}} \cdot {\color{rgb(89,182,91)} \cancel{\left(m^{3}\right)}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} 0.16365924} \times {\color{rgb(125,164,120)} \cancel{\left(m^{3}\right)}}$$
$$\text{Conversion Equation}$$
$$10^{-5} = {\color{rgb(20,165,174)} x} \times 0.16365924$$
Switch sides
$${\color{rgb(20,165,174)} x} \times 0.16365924 = 10^{-5}$$
Isolate $${\color{rgb(20,165,174)} x}$$
Multiply both sides by $$\left(\dfrac{1.0}{0.16365924}\right)$$
$${\color{rgb(20,165,174)} x} \times 0.16365924 \times \dfrac{1.0}{0.16365924} = 10^{-5} \times \dfrac{1.0}{0.16365924}$$
$$\text{Cancel}$$
$${\color{rgb(20,165,174)} x} \times {\color{rgb(255,204,153)} \cancel{0.16365924}} \times \dfrac{1.0}{{\color{rgb(255,204,153)} \cancel{0.16365924}}} = 10^{-5} \times \dfrac{1.0}{0.16365924}$$
$$\text{Simplify}$$
$${\color{rgb(20,165,174)} x} = \dfrac{10^{-5}}{0.16365924}$$
Solve $${\color{rgb(20,165,174)} x}$$
$${\color{rgb(20,165,174)} x}\approx0.0000611026\approx6.1103 \times 10^{-5}$$
$$\text{Conversion Equation}$$
$$1.0\left(shao(勺)\right)\approx{\color{rgb(20,165,174)} 6.1103 \times 10^{-5}}\left(barrel\right)$$