Convert koku(石) to cubic meter

Learn how to convert 1 koku(石) to cubic meter step by step.

Calculation Breakdown

Set up the equation

\(1.0\left(koku(石)\right)={\color{rgb(20,165,174)} x}\left(cubic \text{ } meter\right)\)

Define the base values of the selected units in relation to the SI unit \(\left(cubic \text{ } meter\right)\)

\(\text{Left side: 1.0 } \left(koku(石)\right) = {\color{rgb(89,182,91)} \dfrac{2401.0}{1.331 \times 10^{4}}\left(cubic \text{ } meter\right)} = {\color{rgb(89,182,91)} \dfrac{2401.0}{1.331 \times 10^{4}}\left(m^{3}\right)}\)

\(\text{Right side: 1.0 } \left(cubic \text{ } meter\right) = {\color{rgb(125,164,120)} 1.0\left(cubic \text{ } meter\right)} = {\color{rgb(125,164,120)} 1.0\left(m^{3}\right)}\)

Insert known values into the conversion equation to determine \({\color{rgb(20,165,174)} x}\)

\(1.0\left(koku(石)\right)={\color{rgb(20,165,174)} x}\left(cubic \text{ } meter\right)\)

\(\text{Insert known values } =>\)

\(1.0 \times {\color{rgb(89,182,91)} \dfrac{2401.0}{1.331 \times 10^{4}}} \times {\color{rgb(89,182,91)} \left(cubic \text{ } meter\right)} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} 1.0}} \times {\color{rgb(125,164,120)} \left(cubic \text{ } meter\right)}\)

\(\text{Or}\)

\(1.0 \cdot {\color{rgb(89,182,91)} \dfrac{2401.0}{1.331 \times 10^{4}}} \cdot {\color{rgb(89,182,91)} \left(m^{3}\right)} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} 1.0} \cdot {\color{rgb(125,164,120)} \left(m^{3}\right)}\)

\(\text{Cancel SI units}\)

\(1.0 \times {\color{rgb(89,182,91)} \dfrac{2401.0}{1.331 \times 10^{4}}} \cdot {\color{rgb(89,182,91)} \cancel{\left(m^{3}\right)}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} 1.0} \times {\color{rgb(125,164,120)} \cancel{\left(m^{3}\right)}}\)

\(\text{Conversion Equation}\)

\(\dfrac{2401.0}{1.331 \times 10^{4}} = {\color{rgb(20,165,174)} x} \times 1.0\)

\(\text{Simplify}\)

\(\dfrac{2401.0}{1.331 \times 10^{4}} = {\color{rgb(20,165,174)} x}\)

Switch sides

\({\color{rgb(20,165,174)} x} = \dfrac{2401.0}{1.331 \times 10^{4}}\)

Rewrite equation

\(\dfrac{1.0}{10^{4}}\text{ can be rewritten to }10^{-4}\)

\(\text{Rewrite}\)

\({\color{rgb(20,165,174)} x} = \dfrac{10^{-4} \times 2401.0}{1.331}\)

Solve \({\color{rgb(20,165,174)} x}\)

\({\color{rgb(20,165,174)} x}\approx0.1803906837\approx1.8039 \times 10^{-1}\)