Convert pinch to sai(才)
Learn how to convert
1
pinch to
sai(才)
step by step.
Calculation Breakdown
Set up the equation
\(1.0\left(pinch\right)={\color{rgb(20,165,174)} x}\left(sai(才)\right)\)
Define the base values of the selected units in relation to the SI unit \(\left(cubic \text{ } meter\right)\)
\(\text{Left side: 1.0 } \left(pinch\right) = {\color{rgb(89,182,91)} 7.39923502604167 \times 10^{-7}\left(cubic \text{ } meter\right)} = {\color{rgb(89,182,91)} 7.39923502604167 \times 10^{-7}\left(m^{3}\right)}\)
\(\text{Right side: 1.0 } \left(sai(才)\right) = {\color{rgb(125,164,120)} \dfrac{2.401}{1.331 \times 10^{6}}\left(cubic \text{ } meter\right)} = {\color{rgb(125,164,120)} \dfrac{2.401}{1.331 \times 10^{6}}\left(m^{3}\right)}\)
Insert known values into the conversion equation to determine \({\color{rgb(20,165,174)} x}\)
\(1.0\left(pinch\right)={\color{rgb(20,165,174)} x}\left(sai(才)\right)\)
\(\text{Insert known values } =>\)
\(1.0 \times {\color{rgb(89,182,91)} 7.39923502604167 \times 10^{-7}} \times {\color{rgb(89,182,91)} \left(cubic \text{ } meter\right)} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} \dfrac{2.401}{1.331 \times 10^{6}}}} \times {\color{rgb(125,164,120)} \left(cubic \text{ } meter\right)}\)
\(\text{Or}\)
\(1.0 \cdot {\color{rgb(89,182,91)} 7.39923502604167 \times 10^{-7}} \cdot {\color{rgb(89,182,91)} \left(m^{3}\right)} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} \dfrac{2.401}{1.331 \times 10^{6}}} \cdot {\color{rgb(125,164,120)} \left(m^{3}\right)}\)
\(\text{Cancel SI units}\)
\(1.0 \times {\color{rgb(89,182,91)} 7.39923502604167 \times 10^{-7}} \cdot {\color{rgb(89,182,91)} \cancel{\left(m^{3}\right)}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} \dfrac{2.401}{1.331 \times 10^{6}}} \times {\color{rgb(125,164,120)} \cancel{\left(m^{3}\right)}}\)
\(\text{Conversion Equation}\)
\(7.39923502604167 \times 10^{-7} = {\color{rgb(20,165,174)} x} \times \dfrac{2.401}{1.331 \times 10^{6}}\)
Switch sides
\({\color{rgb(20,165,174)} x} \times \dfrac{2.401}{1.331 \times 10^{6}} = 7.39923502604167 \times 10^{-7}\)
Isolate \({\color{rgb(20,165,174)} x}\)
Multiply both sides by \(\left(\dfrac{1.331 \times 10^{6}}{2.401}\right)\)
\({\color{rgb(20,165,174)} x} \times \dfrac{2.401}{1.331 \times 10^{6}} \times \dfrac{1.331 \times 10^{6}}{2.401} = 7.39923502604167 \times 10^{-7} \times \dfrac{1.331 \times 10^{6}}{2.401}\)
\(\text{Cancel}\)
\({\color{rgb(20,165,174)} x} \times \dfrac{{\color{rgb(255,204,153)} \cancel{2.401}} \times {\color{rgb(99,194,222)} \cancel{1.331}} \times {\color{rgb(166,218,227)} \cancel{10^{6}}}}{{\color{rgb(99,194,222)} \cancel{1.331}} \times {\color{rgb(166,218,227)} \cancel{10^{6}}} \times {\color{rgb(255,204,153)} \cancel{2.401}}} = 7.39923502604167 \times {\color{rgb(255,204,153)} \cancelto{10^{-1}}{10^{-7}}} \times \dfrac{1.331 \times {\color{rgb(255,204,153)} \cancel{10^{6}}}}{2.401}\)
\(\text{Simplify}\)
\({\color{rgb(20,165,174)} x} = \dfrac{7.39923502604167 \times 10^{-1} \times 1.331}{2.401}\)
Solve \({\color{rgb(20,165,174)} x}\)
\({\color{rgb(20,165,174)} x}\approx0.4101783348\approx4.1018 \times 10^{-1}\)
\(\text{Conversion Equation}\)
\(1.0\left(pinch\right)\approx{\color{rgb(20,165,174)} 4.1018 \times 10^{-1}}\left(sai(才)\right)\)
