Convert barrel to jigger
Learn how to convert
1
barrel to
jigger
step by step.
Calculation Breakdown
Set up the equation
\(1.0\left(barrel\right)={\color{rgb(20,165,174)} x}\left(jigger\right)\)
Define the base values of the selected units in relation to the SI unit \(\left(cubic \text{ } meter\right)\)
\(\text{Left side: 1.0 } \left(barrel\right) = {\color{rgb(89,182,91)} 0.16365924\left(cubic \text{ } meter\right)} = {\color{rgb(89,182,91)} 0.16365924\left(m^{3}\right)}\)
\(\text{Right side: 1.0 } \left(jigger\right) = {\color{rgb(125,164,120)} 4.436029434375 \times 10^{-5}\left(cubic \text{ } meter\right)} = {\color{rgb(125,164,120)} 4.436029434375 \times 10^{-5}\left(m^{3}\right)}\)
Insert known values into the conversion equation to determine \({\color{rgb(20,165,174)} x}\)
\(1.0\left(barrel\right)={\color{rgb(20,165,174)} x}\left(jigger\right)\)
\(\text{Insert known values } =>\)
\(1.0 \times {\color{rgb(89,182,91)} 0.16365924} \times {\color{rgb(89,182,91)} \left(cubic \text{ } meter\right)} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} 4.436029434375 \times 10^{-5}}} \times {\color{rgb(125,164,120)} \left(cubic \text{ } meter\right)}\)
\(\text{Or}\)
\(1.0 \cdot {\color{rgb(89,182,91)} 0.16365924} \cdot {\color{rgb(89,182,91)} \left(m^{3}\right)} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} 4.436029434375 \times 10^{-5}} \cdot {\color{rgb(125,164,120)} \left(m^{3}\right)}\)
\(\text{Cancel SI units}\)
\(1.0 \times {\color{rgb(89,182,91)} 0.16365924} \cdot {\color{rgb(89,182,91)} \cancel{\left(m^{3}\right)}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} 4.436029434375 \times 10^{-5}} \times {\color{rgb(125,164,120)} \cancel{\left(m^{3}\right)}}\)
\(\text{Conversion Equation}\)
\(0.16365924 = {\color{rgb(20,165,174)} x} \times 4.436029434375 \times 10^{-5}\)
Switch sides
\({\color{rgb(20,165,174)} x} \times 4.436029434375 \times 10^{-5} = 0.16365924\)
Isolate \({\color{rgb(20,165,174)} x}\)
Multiply both sides by \(\left(\dfrac{1.0}{4.436029434375 \times 10^{-5}}\right)\)
\({\color{rgb(20,165,174)} x} \times 4.436029434375 \times 10^{-5} \times \dfrac{1.0}{4.436029434375 \times 10^{-5}} = 0.16365924 \times \dfrac{1.0}{4.436029434375 \times 10^{-5}}\)
\(\text{Cancel}\)
\({\color{rgb(20,165,174)} x} \times {\color{rgb(255,204,153)} \cancel{4.436029434375}} \times {\color{rgb(99,194,222)} \cancel{10^{-5}}} \times \dfrac{1.0}{{\color{rgb(255,204,153)} \cancel{4.436029434375}} \times {\color{rgb(99,194,222)} \cancel{10^{-5}}}} = 0.16365924 \times \dfrac{1.0}{4.436029434375 \times 10^{-5}}\)
\(\text{Simplify}\)
\({\color{rgb(20,165,174)} x} = \dfrac{0.16365924}{4.436029434375 \times 10^{-5}}\)
Rewrite equation
\(\dfrac{1.0}{10^{-5}}\text{ can be rewritten to }10^{5}\)
\(\text{Rewrite}\)
\({\color{rgb(20,165,174)} x} = \dfrac{10^{5} \times 0.16365924}{4.436029434375}\)
Solve \({\color{rgb(20,165,174)} x}\)
\({\color{rgb(20,165,174)} x}\approx3689.3181712\approx3.6893 \times 10^{3}\)
\(\text{Conversion Equation}\)
\(1.0\left(barrel\right)\approx{\color{rgb(20,165,174)} 3.6893 \times 10^{3}}\left(jigger\right)\)
