Convert bucket to barrel
Learn how to convert
1
bucket to
barrel
step by step.
Calculation Breakdown
Set up the equation
\(1.0\left(bucket\right)={\color{rgb(20,165,174)} x}\left(barrel\right)\)
Define the base values of the selected units in relation to the SI unit \(\left(cubic \text{ } meter\right)\)
\(\text{Left side: 1.0 } \left(bucket\right) = {\color{rgb(89,182,91)} 1.818436 \times 10^{-2}\left(cubic \text{ } meter\right)} = {\color{rgb(89,182,91)} 1.818436 \times 10^{-2}\left(m^{3}\right)}\)
\(\text{Right side: 1.0 } \left(barrel\right) = {\color{rgb(125,164,120)} 0.158987294928\left(cubic \text{ } meter\right)} = {\color{rgb(125,164,120)} 0.158987294928\left(m^{3}\right)}\)
Insert known values into the conversion equation to determine \({\color{rgb(20,165,174)} x}\)
\(1.0\left(bucket\right)={\color{rgb(20,165,174)} x}\left(barrel\right)\)
\(\text{Insert known values } =>\)
\(1.0 \times {\color{rgb(89,182,91)} 1.818436 \times 10^{-2}} \times {\color{rgb(89,182,91)} \left(cubic \text{ } meter\right)} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} 0.158987294928}} \times {\color{rgb(125,164,120)} \left(cubic \text{ } meter\right)}\)
\(\text{Or}\)
\(1.0 \cdot {\color{rgb(89,182,91)} 1.818436 \times 10^{-2}} \cdot {\color{rgb(89,182,91)} \left(m^{3}\right)} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} 0.158987294928} \cdot {\color{rgb(125,164,120)} \left(m^{3}\right)}\)
\(\text{Cancel SI units}\)
\(1.0 \times {\color{rgb(89,182,91)} 1.818436 \times 10^{-2}} \cdot {\color{rgb(89,182,91)} \cancel{\left(m^{3}\right)}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} 0.158987294928} \times {\color{rgb(125,164,120)} \cancel{\left(m^{3}\right)}}\)
\(\text{Conversion Equation}\)
\(1.818436 \times 10^{-2} = {\color{rgb(20,165,174)} x} \times 0.158987294928\)
Switch sides
\({\color{rgb(20,165,174)} x} \times 0.158987294928 = 1.818436 \times 10^{-2}\)
Isolate \({\color{rgb(20,165,174)} x}\)
Multiply both sides by \(\left(\dfrac{1.0}{0.158987294928}\right)\)
\({\color{rgb(20,165,174)} x} \times 0.158987294928 \times \dfrac{1.0}{0.158987294928} = 1.818436 \times 10^{-2} \times \dfrac{1.0}{0.158987294928}\)
\(\text{Cancel}\)
\({\color{rgb(20,165,174)} x} \times {\color{rgb(255,204,153)} \cancel{0.158987294928}} \times \dfrac{1.0}{{\color{rgb(255,204,153)} \cancel{0.158987294928}}} = 1.818436 \times 10^{-2} \times \dfrac{1.0}{0.158987294928}\)
\(\text{Simplify}\)
\({\color{rgb(20,165,174)} x} = \dfrac{1.818436 \times 10^{-2}}{0.158987294928}\)
Solve \({\color{rgb(20,165,174)} x}\)
\({\color{rgb(20,165,174)} x}\approx0.1143761834\approx1.1438 \times 10^{-1}\)
\(\text{Conversion Equation}\)
\(1.0\left(bucket\right)\approx{\color{rgb(20,165,174)} 1.1438 \times 10^{-1}}\left(barrel\right)\)
