Convert koku(石) to sheng(市升)
Learn how to convert
1
koku(石) to
sheng(市升)
step by step.
Calculation Breakdown
Set up the equation
\(1.0\left(koku(石)\right)={\color{rgb(20,165,174)} x}\left(sheng(市升)\right)\)
Define the base values of the selected units in relation to the SI unit \(\left(cubic \text{ } meter\right)\)
\(\text{Left side: 1.0 } \left(koku(石)\right) = {\color{rgb(89,182,91)} \dfrac{2401.0}{1.331 \times 10^{4}}\left(cubic \text{ } meter\right)} = {\color{rgb(89,182,91)} \dfrac{2401.0}{1.331 \times 10^{4}}\left(m^{3}\right)}\)
\(\text{Right side: 1.0 } \left(sheng(市升)\right) = {\color{rgb(125,164,120)} 10^{-3}\left(cubic \text{ } meter\right)} = {\color{rgb(125,164,120)} 10^{-3}\left(m^{3}\right)}\)
Insert known values into the conversion equation to determine \({\color{rgb(20,165,174)} x}\)
\(1.0\left(koku(石)\right)={\color{rgb(20,165,174)} x}\left(sheng(市升)\right)\)
\(\text{Insert known values } =>\)
\(1.0 \times {\color{rgb(89,182,91)} \dfrac{2401.0}{1.331 \times 10^{4}}} \times {\color{rgb(89,182,91)} \left(cubic \text{ } meter\right)} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} 10^{-3}}} \times {\color{rgb(125,164,120)} \left(cubic \text{ } meter\right)}\)
\(\text{Or}\)
\(1.0 \cdot {\color{rgb(89,182,91)} \dfrac{2401.0}{1.331 \times 10^{4}}} \cdot {\color{rgb(89,182,91)} \left(m^{3}\right)} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} 10^{-3}} \cdot {\color{rgb(125,164,120)} \left(m^{3}\right)}\)
\(\text{Cancel SI units}\)
\(1.0 \times {\color{rgb(89,182,91)} \dfrac{2401.0}{1.331 \times 10^{4}}} \cdot {\color{rgb(89,182,91)} \cancel{\left(m^{3}\right)}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} 10^{-3}} \times {\color{rgb(125,164,120)} \cancel{\left(m^{3}\right)}}\)
\(\text{Conversion Equation}\)
\(\dfrac{2401.0}{1.331 \times 10^{4}} = {\color{rgb(20,165,174)} x} \times 10^{-3}\)
Switch sides
\({\color{rgb(20,165,174)} x} \times 10^{-3} = \dfrac{2401.0}{1.331 \times 10^{4}}\)
Isolate \({\color{rgb(20,165,174)} x}\)
Multiply both sides by \(\left(\dfrac{1.0}{10^{-3}}\right)\)
\({\color{rgb(20,165,174)} x} \times 10^{-3} \times \dfrac{1.0}{10^{-3}} = \dfrac{2401.0}{1.331 \times 10^{4}} \times \dfrac{1.0}{10^{-3}}\)
\(\text{Cancel}\)
\({\color{rgb(20,165,174)} x} \times {\color{rgb(255,204,153)} \cancel{10^{-3}}} \times \dfrac{1.0}{{\color{rgb(255,204,153)} \cancel{10^{-3}}}} = \dfrac{2401.0 \times 1.0}{1.331 \times {\color{rgb(255,204,153)} \cancelto{10}{10^{4}}} \times {\color{rgb(255,204,153)} \cancel{10^{-3}}}}\)
\(\text{Simplify}\)
\({\color{rgb(20,165,174)} x} = \dfrac{2401.0}{1.331 \times 10.0}\)
Solve \({\color{rgb(20,165,174)} x}\)
\({\color{rgb(20,165,174)} x}\approx180.3906837\approx1.8039 \times 10^{2}\)
\(\text{Conversion Equation}\)
\(1.0\left(koku(石)\right)\approx{\color{rgb(20,165,174)} 1.8039 \times 10^{2}}\left(sheng(市升)\right)\)
