Convert barrel to shaku(勺)

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

Calculation Breakdown

Set up the equation
\(1.0\left(barrel\right)={\color{rgb(20,165,174)} x}\left(shaku(勺)\right)\)
Define the base values of the selected units in relation to the SI unit \(\left(cubic \text{ } meter\right)\)
\(\text{Left side: 1.0 } \left(barrel\right) = {\color{rgb(89,182,91)} 0.16365924\left(cubic \text{ } meter\right)} = {\color{rgb(89,182,91)} 0.16365924\left(m^{3}\right)}\)
\(\text{Right side: 1.0 } \left(shaku(勺)\right) = {\color{rgb(125,164,120)} \dfrac{2.401}{1.331 \times 10^{5}}\left(cubic \text{ } meter\right)} = {\color{rgb(125,164,120)} \dfrac{2.401}{1.331 \times 10^{5}}\left(m^{3}\right)}\)
Insert known values into the conversion equation to determine \({\color{rgb(20,165,174)} x}\)
\(1.0\left(barrel\right)={\color{rgb(20,165,174)} x}\left(shaku(勺)\right)\)
\(\text{Insert known values } =>\)
\(1.0 \times {\color{rgb(89,182,91)} 0.16365924} \times {\color{rgb(89,182,91)} \left(cubic \text{ } meter\right)} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} \dfrac{2.401}{1.331 \times 10^{5}}}} \times {\color{rgb(125,164,120)} \left(cubic \text{ } meter\right)}\)
\(\text{Or}\)
\(1.0 \cdot {\color{rgb(89,182,91)} 0.16365924} \cdot {\color{rgb(89,182,91)} \left(m^{3}\right)} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} \dfrac{2.401}{1.331 \times 10^{5}}} \cdot {\color{rgb(125,164,120)} \left(m^{3}\right)}\)
\(\text{Cancel SI units}\)
\(1.0 \times {\color{rgb(89,182,91)} 0.16365924} \cdot {\color{rgb(89,182,91)} \cancel{\left(m^{3}\right)}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} \dfrac{2.401}{1.331 \times 10^{5}}} \times {\color{rgb(125,164,120)} \cancel{\left(m^{3}\right)}}\)
\(\text{Conversion Equation}\)
\(0.16365924 = {\color{rgb(20,165,174)} x} \times \dfrac{2.401}{1.331 \times 10^{5}}\)
Switch sides
\({\color{rgb(20,165,174)} x} \times \dfrac{2.401}{1.331 \times 10^{5}} = 0.16365924\)
Isolate \({\color{rgb(20,165,174)} x}\)
Multiply both sides by \(\left(\dfrac{1.331 \times 10^{5}}{2.401}\right)\)
\({\color{rgb(20,165,174)} x} \times \dfrac{2.401}{1.331 \times 10^{5}} \times \dfrac{1.331 \times 10^{5}}{2.401} = 0.16365924 \times \dfrac{1.331 \times 10^{5}}{2.401}\)
\(\text{Cancel}\)
\({\color{rgb(20,165,174)} x} \times \dfrac{{\color{rgb(255,204,153)} \cancel{2.401}} \times {\color{rgb(99,194,222)} \cancel{1.331}} \times {\color{rgb(166,218,227)} \cancel{10^{5}}}}{{\color{rgb(99,194,222)} \cancel{1.331}} \times {\color{rgb(166,218,227)} \cancel{10^{5}}} \times {\color{rgb(255,204,153)} \cancel{2.401}}} = 0.16365924 \times \dfrac{1.331 \times 10^{5}}{2.401}\)
\(\text{Simplify}\)
\({\color{rgb(20,165,174)} x} = \dfrac{0.16365924 \times 1.331 \times 10^{5}}{2.401}\)
Solve \({\color{rgb(20,165,174)} x}\)
\({\color{rgb(20,165,174)} x}\approx9072.4884815\approx9.0725 \times 10^{3}\)
\(\text{Conversion Equation}\)
\(1.0\left(barrel\right)\approx{\color{rgb(20,165,174)} 9.0725 \times 10^{3}}\left(shaku(勺)\right)\)

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