Convert pound / barrel to pound / bushel
Learn how to convert
1
pound / barrel to
pound / bushel
step by step.
Calculation Breakdown
Set up the equation
\(1.0\left(\dfrac{pound}{barrel}\right)={\color{rgb(20,165,174)} x}\left(\dfrac{pound}{bushel}\right)\)
Define the base values of the selected units in relation to the SI unit \(\left(\dfrac{{\color{rgb(230,179,255)} kilo}gram}{cubic \text{ } meter}\right)\)
\(\text{Left side: 1.0 } \left(\dfrac{pound}{barrel}\right) = {\color{rgb(89,182,91)} \dfrac{5.0}{1.19240471196}\left(\dfrac{{\color{rgb(230,179,255)} kilo}gram}{cubic \text{ } meter}\right)} = {\color{rgb(89,182,91)} \dfrac{5.0}{1.19240471196}\left(\dfrac{{\color{rgb(230,179,255)} k}g}{m^{3}}\right)}\)
\(\text{Right side: 1.0 } \left(\dfrac{pound}{bushel}\right) = {\color{rgb(125,164,120)} \dfrac{45.359237}{3.636872}\left(\dfrac{{\color{rgb(230,179,255)} kilo}gram}{cubic \text{ } meter}\right)} = {\color{rgb(125,164,120)} \dfrac{45.359237}{3.636872}\left(\dfrac{{\color{rgb(230,179,255)} k}g}{m^{3}}\right)}\)
Insert known values into the conversion equation to determine \({\color{rgb(20,165,174)} x}\)
\(1.0\left(\dfrac{pound}{barrel}\right)={\color{rgb(20,165,174)} x}\left(\dfrac{pound}{bushel}\right)\)
\(\text{Insert known values } =>\)
\(1.0 \times {\color{rgb(89,182,91)} \dfrac{5.0}{1.19240471196}} \times {\color{rgb(89,182,91)} \left(\dfrac{{\color{rgb(230,179,255)} kilo}gram}{cubic \text{ } meter}\right)} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} \dfrac{45.359237}{3.636872}}} \times {\color{rgb(125,164,120)} \left(\dfrac{{\color{rgb(230,179,255)} kilo}gram}{cubic \text{ } meter}\right)}\)
\(\text{Or}\)
\(1.0 \cdot {\color{rgb(89,182,91)} \dfrac{5.0}{1.19240471196}} \cdot {\color{rgb(89,182,91)} \left(\dfrac{{\color{rgb(230,179,255)} k}g}{m^{3}}\right)} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} \dfrac{45.359237}{3.636872}} \cdot {\color{rgb(125,164,120)} \left(\dfrac{{\color{rgb(230,179,255)} k}g}{m^{3}}\right)}\)
\(\text{Cancel SI units}\)
\(1.0 \times {\color{rgb(89,182,91)} \dfrac{5.0}{1.19240471196}} \cdot {\color{rgb(89,182,91)} \cancel{\left(\dfrac{{\color{rgb(230,179,255)} k}g}{m^{3}}\right)}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} \dfrac{45.359237}{3.636872}} \times {\color{rgb(125,164,120)} \cancel{\left(\dfrac{{\color{rgb(230,179,255)} k}g}{m^{3}}\right)}}\)
\(\text{Conversion Equation}\)
\(\dfrac{5.0}{1.19240471196} = {\color{rgb(20,165,174)} x} \times \dfrac{45.359237}{3.636872}\)
Switch sides
\({\color{rgb(20,165,174)} x} \times \dfrac{45.359237}{3.636872} = \dfrac{5.0}{1.19240471196}\)
Isolate \({\color{rgb(20,165,174)} x}\)
Multiply both sides by \(\left(\dfrac{3.636872}{45.359237}\right)\)
\({\color{rgb(20,165,174)} x} \times \dfrac{45.359237}{3.636872} \times \dfrac{3.636872}{45.359237} = \dfrac{5.0}{1.19240471196} \times \dfrac{3.636872}{45.359237}\)
\(\text{Cancel}\)
\({\color{rgb(20,165,174)} x} \times \dfrac{{\color{rgb(255,204,153)} \cancel{45.359237}} \times {\color{rgb(99,194,222)} \cancel{3.636872}}}{{\color{rgb(99,194,222)} \cancel{3.636872}} \times {\color{rgb(255,204,153)} \cancel{45.359237}}} = \dfrac{5.0 \times 3.636872}{1.19240471196 \times 45.359237}\)
\(\text{Simplify}\)
\({\color{rgb(20,165,174)} x} = \dfrac{5.0 \times 3.636872}{1.19240471196 \times 45.359237}\)
Solve \({\color{rgb(20,165,174)} x}\)
\({\color{rgb(20,165,174)} x}\approx0.3362084284\approx3.3621 \times 10^{-1}\)
\(\text{Conversion Equation}\)
\(1.0\left(\dfrac{pound}{barrel}\right)\approx{\color{rgb(20,165,174)} 3.3621 \times 10^{-1}}\left(\dfrac{pound}{bushel}\right)\)
