Convert barrel to acre • inch
Learn how to convert
1
barrel to
acre • inch
step by step.
Calculation Breakdown
Set up the equation
\(1.0\left(barrel\right)={\color{rgb(20,165,174)} x}\left(acre \times inch\right)\)
Define the base values of the selected units in relation to the SI unit \(\left(cubic \text{ } meter\right)\)
\(\text{Left side: 1.0 } \left(barrel\right) = {\color{rgb(89,182,91)} 0.158987294928\left(cubic \text{ } meter\right)} = {\color{rgb(89,182,91)} 0.158987294928\left(m^{3}\right)}\)
\(\text{Right side: 1.0 } \left(acre \times inch\right) = {\color{rgb(125,164,120)} 102.79015312896\left(cubic \text{ } meter\right)} = {\color{rgb(125,164,120)} 102.79015312896\left(m^{3}\right)}\)
Insert known values into the conversion equation to determine \({\color{rgb(20,165,174)} x}\)
\(1.0\left(barrel\right)={\color{rgb(20,165,174)} x}\left(acre \times inch\right)\)
\(\text{Insert known values } =>\)
\(1.0 \times {\color{rgb(89,182,91)} 0.158987294928} \times {\color{rgb(89,182,91)} \left(cubic \text{ } meter\right)} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} 102.79015312896}} \times {\color{rgb(125,164,120)} \left(cubic \text{ } meter\right)}\)
\(\text{Or}\)
\(1.0 \cdot {\color{rgb(89,182,91)} 0.158987294928} \cdot {\color{rgb(89,182,91)} \left(m^{3}\right)} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} 102.79015312896} \cdot {\color{rgb(125,164,120)} \left(m^{3}\right)}\)
\(\text{Cancel SI units}\)
\(1.0 \times {\color{rgb(89,182,91)} 0.158987294928} \cdot {\color{rgb(89,182,91)} \cancel{\left(m^{3}\right)}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} 102.79015312896} \times {\color{rgb(125,164,120)} \cancel{\left(m^{3}\right)}}\)
\(\text{Conversion Equation}\)
\(0.158987294928 = {\color{rgb(20,165,174)} x} \times 102.79015312896\)
Switch sides
\({\color{rgb(20,165,174)} x} \times 102.79015312896 = 0.158987294928\)
Isolate \({\color{rgb(20,165,174)} x}\)
Multiply both sides by \(\left(\dfrac{1.0}{102.79015312896}\right)\)
\({\color{rgb(20,165,174)} x} \times 102.79015312896 \times \dfrac{1.0}{102.79015312896} = 0.158987294928 \times \dfrac{1.0}{102.79015312896}\)
\(\text{Cancel}\)
\({\color{rgb(20,165,174)} x} \times {\color{rgb(255,204,153)} \cancel{102.79015312896}} \times \dfrac{1.0}{{\color{rgb(255,204,153)} \cancel{102.79015312896}}} = 0.158987294928 \times \dfrac{1.0}{102.79015312896}\)
\(\text{Simplify}\)
\({\color{rgb(20,165,174)} x} = \dfrac{0.158987294928}{102.79015312896}\)
Solve \({\color{rgb(20,165,174)} x}\)
\({\color{rgb(20,165,174)} x}\approx0.0015467172\approx1.5467 \times 10^{-3}\)
\(\text{Conversion Equation}\)
\(1.0\left(barrel\right)\approx{\color{rgb(20,165,174)} 1.5467 \times 10^{-3}}\left(acre \times inch\right)\)
