Convert bushel to sai(才)
Learn how to convert
1
bushel to
sai(才)
step by step.
Calculation Breakdown
Set up the equation
\(1.0\left(bushel\right)={\color{rgb(20,165,174)} x}\left(sai(才)\right)\)
Define the base values of the selected units in relation to the SI unit \(\left(cubic \text{ } meter\right)\)
\(\text{Left side: 1.0 } \left(bushel\right) = {\color{rgb(89,182,91)} 3.636872 \times 10^{-2}\left(cubic \text{ } meter\right)} = {\color{rgb(89,182,91)} 3.636872 \times 10^{-2}\left(m^{3}\right)}\)
\(\text{Right side: 1.0 } \left(sai(才)\right) = {\color{rgb(125,164,120)} \dfrac{2.401}{1.331 \times 10^{6}}\left(cubic \text{ } meter\right)} = {\color{rgb(125,164,120)} \dfrac{2.401}{1.331 \times 10^{6}}\left(m^{3}\right)}\)
Insert known values into the conversion equation to determine \({\color{rgb(20,165,174)} x}\)
\(1.0\left(bushel\right)={\color{rgb(20,165,174)} x}\left(sai(才)\right)\)
\(\text{Insert known values } =>\)
\(1.0 \times {\color{rgb(89,182,91)} 3.636872 \times 10^{-2}} \times {\color{rgb(89,182,91)} \left(cubic \text{ } meter\right)} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} \dfrac{2.401}{1.331 \times 10^{6}}}} \times {\color{rgb(125,164,120)} \left(cubic \text{ } meter\right)}\)
\(\text{Or}\)
\(1.0 \cdot {\color{rgb(89,182,91)} 3.636872 \times 10^{-2}} \cdot {\color{rgb(89,182,91)} \left(m^{3}\right)} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} \dfrac{2.401}{1.331 \times 10^{6}}} \cdot {\color{rgb(125,164,120)} \left(m^{3}\right)}\)
\(\text{Cancel SI units}\)
\(1.0 \times {\color{rgb(89,182,91)} 3.636872 \times 10^{-2}} \cdot {\color{rgb(89,182,91)} \cancel{\left(m^{3}\right)}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} \dfrac{2.401}{1.331 \times 10^{6}}} \times {\color{rgb(125,164,120)} \cancel{\left(m^{3}\right)}}\)
\(\text{Conversion Equation}\)
\(3.636872 \times 10^{-2} = {\color{rgb(20,165,174)} x} \times \dfrac{2.401}{1.331 \times 10^{6}}\)
Switch sides
\({\color{rgb(20,165,174)} x} \times \dfrac{2.401}{1.331 \times 10^{6}} = 3.636872 \times 10^{-2}\)
Isolate \({\color{rgb(20,165,174)} x}\)
Multiply both sides by \(\left(\dfrac{1.331 \times 10^{6}}{2.401}\right)\)
\({\color{rgb(20,165,174)} x} \times \dfrac{2.401}{1.331 \times 10^{6}} \times \dfrac{1.331 \times 10^{6}}{2.401} = 3.636872 \times 10^{-2} \times \dfrac{1.331 \times 10^{6}}{2.401}\)
\(\text{Cancel}\)
\({\color{rgb(20,165,174)} x} \times \dfrac{{\color{rgb(255,204,153)} \cancel{2.401}} \times {\color{rgb(99,194,222)} \cancel{1.331}} \times {\color{rgb(166,218,227)} \cancel{10^{6}}}}{{\color{rgb(99,194,222)} \cancel{1.331}} \times {\color{rgb(166,218,227)} \cancel{10^{6}}} \times {\color{rgb(255,204,153)} \cancel{2.401}}} = 3.636872 \times {\color{rgb(255,204,153)} \cancel{10^{-2}}} \times \dfrac{1.331 \times {\color{rgb(255,204,153)} \cancelto{10^{4}}{10^{6}}}}{2.401}\)
\(\text{Simplify}\)
\({\color{rgb(20,165,174)} x} = \dfrac{3.636872 \times 1.331 \times 10^{4}}{2.401}\)
Solve \({\color{rgb(20,165,174)} x}\)
\({\color{rgb(20,165,174)} x}\approx20161.085514\approx2.0161 \times 10^{4}\)
\(\text{Conversion Equation}\)
\(1.0\left(bushel\right)\approx{\color{rgb(20,165,174)} 2.0161 \times 10^{4}}\left(sai(才)\right)\)
