Convert quarter to water ton
Learn how to convert
1
quarter to
water ton
step by step.
Calculation Breakdown
Set up the equation
\(1.0\left(quarter\right)={\color{rgb(20,165,174)} x}\left(water \text{ } ton\right)\)
Define the base values of the selected units in relation to the SI unit \(\left(cubic \text{ } meter\right)\)
\(\text{Left side: 1.0 } \left(quarter\right) = {\color{rgb(89,182,91)} 2.9094976 \times 10^{-1}\left(cubic \text{ } meter\right)} = {\color{rgb(89,182,91)} 2.9094976 \times 10^{-1}\left(m^{3}\right)}\)
\(\text{Right side: 1.0 } \left(water \text{ } ton\right) = {\color{rgb(125,164,120)} 1.01832416\left(cubic \text{ } meter\right)} = {\color{rgb(125,164,120)} 1.01832416\left(m^{3}\right)}\)
Insert known values into the conversion equation to determine \({\color{rgb(20,165,174)} x}\)
\(1.0\left(quarter\right)={\color{rgb(20,165,174)} x}\left(water \text{ } ton\right)\)
\(\text{Insert known values } =>\)
\(1.0 \times {\color{rgb(89,182,91)} 2.9094976 \times 10^{-1}} \times {\color{rgb(89,182,91)} \left(cubic \text{ } meter\right)} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} 1.01832416}} \times {\color{rgb(125,164,120)} \left(cubic \text{ } meter\right)}\)
\(\text{Or}\)
\(1.0 \cdot {\color{rgb(89,182,91)} 2.9094976 \times 10^{-1}} \cdot {\color{rgb(89,182,91)} \left(m^{3}\right)} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} 1.01832416} \cdot {\color{rgb(125,164,120)} \left(m^{3}\right)}\)
\(\text{Cancel SI units}\)
\(1.0 \times {\color{rgb(89,182,91)} 2.9094976 \times 10^{-1}} \cdot {\color{rgb(89,182,91)} \cancel{\left(m^{3}\right)}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} 1.01832416} \times {\color{rgb(125,164,120)} \cancel{\left(m^{3}\right)}}\)
\(\text{Conversion Equation}\)
\(2.9094976 \times 10^{-1} = {\color{rgb(20,165,174)} x} \times 1.01832416\)
Switch sides
\({\color{rgb(20,165,174)} x} \times 1.01832416 = 2.9094976 \times 10^{-1}\)
Isolate \({\color{rgb(20,165,174)} x}\)
Multiply both sides by \(\left(\dfrac{1.0}{1.01832416}\right)\)
\({\color{rgb(20,165,174)} x} \times 1.01832416 \times \dfrac{1.0}{1.01832416} = 2.9094976 \times 10^{-1} \times \dfrac{1.0}{1.01832416}\)
\(\text{Cancel}\)
\({\color{rgb(20,165,174)} x} \times {\color{rgb(255,204,153)} \cancel{1.01832416}} \times \dfrac{1.0}{{\color{rgb(255,204,153)} \cancel{1.01832416}}} = 2.9094976 \times 10^{-1} \times \dfrac{1.0}{1.01832416}\)
\(\text{Simplify}\)
\({\color{rgb(20,165,174)} x} = \dfrac{2.9094976 \times 10^{-1}}{1.01832416}\)
Solve \({\color{rgb(20,165,174)} x}\)
\({\color{rgb(20,165,174)} x}\approx0.2857142857\approx2.8571 \times 10^{-1}\)
\(\text{Conversion Equation}\)
\(1.0\left(quarter\right)\approx{\color{rgb(20,165,174)} 2.8571 \times 10^{-1}}\left(water \text{ } ton\right)\)
