Convert quarter to barrel
Learn how to convert
1
quarter to
barrel
step by step.
Calculation Breakdown
Set up the equation
\(1.0\left(quarter\right)={\color{rgb(20,165,174)} x}\left(barrel\right)\)
Define the base values of the selected units in relation to the SI unit \(\left(cubic \text{ } meter\right)\)
\(\text{Left side: 1.0 } \left(quarter\right) = {\color{rgb(89,182,91)} 2.9094976 \times 10^{-1}\left(cubic \text{ } meter\right)} = {\color{rgb(89,182,91)} 2.9094976 \times 10^{-1}\left(m^{3}\right)}\)
\(\text{Right side: 1.0 } \left(barrel\right) = {\color{rgb(125,164,120)} 0.16365924\left(cubic \text{ } meter\right)} = {\color{rgb(125,164,120)} 0.16365924\left(m^{3}\right)}\)
Insert known values into the conversion equation to determine \({\color{rgb(20,165,174)} x}\)
\(1.0\left(quarter\right)={\color{rgb(20,165,174)} x}\left(barrel\right)\)
\(\text{Insert known values } =>\)
\(1.0 \times {\color{rgb(89,182,91)} 2.9094976 \times 10^{-1}} \times {\color{rgb(89,182,91)} \left(cubic \text{ } meter\right)} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} 0.16365924}} \times {\color{rgb(125,164,120)} \left(cubic \text{ } meter\right)}\)
\(\text{Or}\)
\(1.0 \cdot {\color{rgb(89,182,91)} 2.9094976 \times 10^{-1}} \cdot {\color{rgb(89,182,91)} \left(m^{3}\right)} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} 0.16365924} \cdot {\color{rgb(125,164,120)} \left(m^{3}\right)}\)
\(\text{Cancel SI units}\)
\(1.0 \times {\color{rgb(89,182,91)} 2.9094976 \times 10^{-1}} \cdot {\color{rgb(89,182,91)} \cancel{\left(m^{3}\right)}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} 0.16365924} \times {\color{rgb(125,164,120)} \cancel{\left(m^{3}\right)}}\)
\(\text{Conversion Equation}\)
\(2.9094976 \times 10^{-1} = {\color{rgb(20,165,174)} x} \times 0.16365924\)
Switch sides
\({\color{rgb(20,165,174)} x} \times 0.16365924 = 2.9094976 \times 10^{-1}\)
Isolate \({\color{rgb(20,165,174)} x}\)
Multiply both sides by \(\left(\dfrac{1.0}{0.16365924}\right)\)
\({\color{rgb(20,165,174)} x} \times 0.16365924 \times \dfrac{1.0}{0.16365924} = 2.9094976 \times 10^{-1} \times \dfrac{1.0}{0.16365924}\)
\(\text{Cancel}\)
\({\color{rgb(20,165,174)} x} \times {\color{rgb(255,204,153)} \cancel{0.16365924}} \times \dfrac{1.0}{{\color{rgb(255,204,153)} \cancel{0.16365924}}} = 2.9094976 \times 10^{-1} \times \dfrac{1.0}{0.16365924}\)
\(\text{Simplify}\)
\({\color{rgb(20,165,174)} x} = \dfrac{2.9094976 \times 10^{-1}}{0.16365924}\)
Solve \({\color{rgb(20,165,174)} x}\)
\({\color{rgb(20,165,174)} x}\approx1.7777777778\approx1.7778\)
\(\text{Conversion Equation}\)
\(1.0\left(quarter\right)\approx{\color{rgb(20,165,174)} 1.7778}\left(barrel\right)\)
