Convert gill to shaku(勺)
Learn how to convert
1
gill to
shaku(勺)
step by step.
Calculation Breakdown
Set up the equation
\(1.0\left(gill\right)={\color{rgb(20,165,174)} x}\left(shaku(勺)\right)\)
Define the base values of the selected units in relation to the SI unit \(\left(cubic \text{ } meter\right)\)
\(\text{Left side: 1.0 } \left(gill\right) = {\color{rgb(89,182,91)} 1.1829411825 \times 10^{-4}\left(cubic \text{ } meter\right)} = {\color{rgb(89,182,91)} 1.1829411825 \times 10^{-4}\left(m^{3}\right)}\)
\(\text{Right side: 1.0 } \left(shaku(勺)\right) = {\color{rgb(125,164,120)} \dfrac{2.401}{1.331 \times 10^{5}}\left(cubic \text{ } meter\right)} = {\color{rgb(125,164,120)} \dfrac{2.401}{1.331 \times 10^{5}}\left(m^{3}\right)}\)
Insert known values into the conversion equation to determine \({\color{rgb(20,165,174)} x}\)
\(1.0\left(gill\right)={\color{rgb(20,165,174)} x}\left(shaku(勺)\right)\)
\(\text{Insert known values } =>\)
\(1.0 \times {\color{rgb(89,182,91)} 1.1829411825 \times 10^{-4}} \times {\color{rgb(89,182,91)} \left(cubic \text{ } meter\right)} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} \dfrac{2.401}{1.331 \times 10^{5}}}} \times {\color{rgb(125,164,120)} \left(cubic \text{ } meter\right)}\)
\(\text{Or}\)
\(1.0 \cdot {\color{rgb(89,182,91)} 1.1829411825 \times 10^{-4}} \cdot {\color{rgb(89,182,91)} \left(m^{3}\right)} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} \dfrac{2.401}{1.331 \times 10^{5}}} \cdot {\color{rgb(125,164,120)} \left(m^{3}\right)}\)
\(\text{Cancel SI units}\)
\(1.0 \times {\color{rgb(89,182,91)} 1.1829411825 \times 10^{-4}} \cdot {\color{rgb(89,182,91)} \cancel{\left(m^{3}\right)}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} \dfrac{2.401}{1.331 \times 10^{5}}} \times {\color{rgb(125,164,120)} \cancel{\left(m^{3}\right)}}\)
\(\text{Conversion Equation}\)
\(1.1829411825 \times 10^{-4} = {\color{rgb(20,165,174)} x} \times \dfrac{2.401}{1.331 \times 10^{5}}\)
Switch sides
\({\color{rgb(20,165,174)} x} \times \dfrac{2.401}{1.331 \times 10^{5}} = 1.1829411825 \times 10^{-4}\)
Isolate \({\color{rgb(20,165,174)} x}\)
Multiply both sides by \(\left(\dfrac{1.331 \times 10^{5}}{2.401}\right)\)
\({\color{rgb(20,165,174)} x} \times \dfrac{2.401}{1.331 \times 10^{5}} \times \dfrac{1.331 \times 10^{5}}{2.401} = 1.1829411825 \times 10^{-4} \times \dfrac{1.331 \times 10^{5}}{2.401}\)
\(\text{Cancel}\)
\({\color{rgb(20,165,174)} x} \times \dfrac{{\color{rgb(255,204,153)} \cancel{2.401}} \times {\color{rgb(99,194,222)} \cancel{1.331}} \times {\color{rgb(166,218,227)} \cancel{10^{5}}}}{{\color{rgb(99,194,222)} \cancel{1.331}} \times {\color{rgb(166,218,227)} \cancel{10^{5}}} \times {\color{rgb(255,204,153)} \cancel{2.401}}} = 1.1829411825 \times {\color{rgb(255,204,153)} \cancel{10^{-4}}} \times \dfrac{1.331 \times {\color{rgb(255,204,153)} \cancelto{10}{10^{5}}}}{2.401}\)
\(\text{Simplify}\)
\({\color{rgb(20,165,174)} x} = \dfrac{1.1829411825 \times 1.331 \times 10.0}{2.401}\)
Solve \({\color{rgb(20,165,174)} x}\)
\({\color{rgb(20,165,174)} x}\approx6.557662282\approx6.5577\)
\(\text{Conversion Equation}\)
\(1.0\left(gill\right)\approx{\color{rgb(20,165,174)} 6.5577}\left(shaku(勺)\right)\)