Convert barrel to peck
Learn how to convert
1
barrel to
peck
step by step.
Calculation Breakdown
Set up the equation
\(1.0\left(barrel\right)={\color{rgb(20,165,174)} x}\left(peck\right)\)
Define the base values of the selected units in relation to the SI unit \(\left(cubic \text{ } meter\right)\)
\(\text{Left side: 1.0 } \left(barrel\right) = {\color{rgb(89,182,91)} 0.16365924\left(cubic \text{ } meter\right)} = {\color{rgb(89,182,91)} 0.16365924\left(m^{3}\right)}\)
\(\text{Right side: 1.0 } \left(peck\right) = {\color{rgb(125,164,120)} 9.09218 \times 10^{-3}\left(cubic \text{ } meter\right)} = {\color{rgb(125,164,120)} 9.09218 \times 10^{-3}\left(m^{3}\right)}\)
Insert known values into the conversion equation to determine \({\color{rgb(20,165,174)} x}\)
\(1.0\left(barrel\right)={\color{rgb(20,165,174)} x}\left(peck\right)\)
\(\text{Insert known values } =>\)
\(1.0 \times {\color{rgb(89,182,91)} 0.16365924} \times {\color{rgb(89,182,91)} \left(cubic \text{ } meter\right)} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} 9.09218 \times 10^{-3}}} \times {\color{rgb(125,164,120)} \left(cubic \text{ } meter\right)}\)
\(\text{Or}\)
\(1.0 \cdot {\color{rgb(89,182,91)} 0.16365924} \cdot {\color{rgb(89,182,91)} \left(m^{3}\right)} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} 9.09218 \times 10^{-3}} \cdot {\color{rgb(125,164,120)} \left(m^{3}\right)}\)
\(\text{Cancel SI units}\)
\(1.0 \times {\color{rgb(89,182,91)} 0.16365924} \cdot {\color{rgb(89,182,91)} \cancel{\left(m^{3}\right)}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} 9.09218 \times 10^{-3}} \times {\color{rgb(125,164,120)} \cancel{\left(m^{3}\right)}}\)
\(\text{Conversion Equation}\)
\(0.16365924 = {\color{rgb(20,165,174)} x} \times 9.09218 \times 10^{-3}\)
Switch sides
\({\color{rgb(20,165,174)} x} \times 9.09218 \times 10^{-3} = 0.16365924\)
Isolate \({\color{rgb(20,165,174)} x}\)
Multiply both sides by \(\left(\dfrac{1.0}{9.09218 \times 10^{-3}}\right)\)
\({\color{rgb(20,165,174)} x} \times 9.09218 \times 10^{-3} \times \dfrac{1.0}{9.09218 \times 10^{-3}} = 0.16365924 \times \dfrac{1.0}{9.09218 \times 10^{-3}}\)
\(\text{Cancel}\)
\({\color{rgb(20,165,174)} x} \times {\color{rgb(255,204,153)} \cancel{9.09218}} \times {\color{rgb(99,194,222)} \cancel{10^{-3}}} \times \dfrac{1.0}{{\color{rgb(255,204,153)} \cancel{9.09218}} \times {\color{rgb(99,194,222)} \cancel{10^{-3}}}} = 0.16365924 \times \dfrac{1.0}{9.09218 \times 10^{-3}}\)
\(\text{Simplify}\)
\({\color{rgb(20,165,174)} x} = \dfrac{0.16365924}{9.09218 \times 10^{-3}}\)
Rewrite equation
\(\dfrac{1.0}{10^{-3}}\text{ can be rewritten to }10^{3}\)
\(\text{Rewrite}\)
\({\color{rgb(20,165,174)} x} = \dfrac{10^{3} \times 0.16365924}{9.09218}\)
Solve \({\color{rgb(20,165,174)} x}\)
\({\color{rgb(20,165,174)} x} = 18\)
\(\text{Conversion Equation}\)
\(1.0\left(barrel\right) = {\color{rgb(20,165,174)} 18}\left(peck\right)\)
