Convert shot to pint
Learn how to convert
1
shot to
pint
step by step.
Calculation Breakdown
Set up the equation
\(1.0\left(shot\right)={\color{rgb(20,165,174)} x}\left(pint\right)\)
Define the base values of the selected units in relation to the SI unit \(\left(cubic \text{ } meter\right)\)
\(\text{Left side: 1.0 } \left(shot\right) = {\color{rgb(89,182,91)} 2.95735295625 \times 10^{-5}\left(cubic \text{ } meter\right)} = {\color{rgb(89,182,91)} 2.95735295625 \times 10^{-5}\left(m^{3}\right)}\)
\(\text{Right side: 1.0 } \left(pint\right) = {\color{rgb(125,164,120)} 4.73176473 \times 10^{-4}\left(cubic \text{ } meter\right)} = {\color{rgb(125,164,120)} 4.73176473 \times 10^{-4}\left(m^{3}\right)}\)
Insert known values into the conversion equation to determine \({\color{rgb(20,165,174)} x}\)
\(1.0\left(shot\right)={\color{rgb(20,165,174)} x}\left(pint\right)\)
\(\text{Insert known values } =>\)
\(1.0 \times {\color{rgb(89,182,91)} 2.95735295625 \times 10^{-5}} \times {\color{rgb(89,182,91)} \left(cubic \text{ } meter\right)} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} 4.73176473 \times 10^{-4}}} \times {\color{rgb(125,164,120)} \left(cubic \text{ } meter\right)}\)
\(\text{Or}\)
\(1.0 \cdot {\color{rgb(89,182,91)} 2.95735295625 \times 10^{-5}} \cdot {\color{rgb(89,182,91)} \left(m^{3}\right)} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} 4.73176473 \times 10^{-4}} \cdot {\color{rgb(125,164,120)} \left(m^{3}\right)}\)
\(\text{Cancel SI units}\)
\(1.0 \times {\color{rgb(89,182,91)} 2.95735295625 \times 10^{-5}} \cdot {\color{rgb(89,182,91)} \cancel{\left(m^{3}\right)}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} 4.73176473 \times 10^{-4}} \times {\color{rgb(125,164,120)} \cancel{\left(m^{3}\right)}}\)
\(\text{Conversion Equation}\)
\(2.95735295625 \times 10^{-5} = {\color{rgb(20,165,174)} x} \times 4.73176473 \times 10^{-4}\)
Cancel factors on both sides
\(\text{Cancel factors}\)
\(2.95735295625 \times {\color{rgb(255,204,153)} \cancelto{10^{-1}}{10^{-5}}} = {\color{rgb(20,165,174)} x} \times 4.73176473 \times {\color{rgb(255,204,153)} \cancel{10^{-4}}}\)
\(\text{Simplify}\)
\(2.95735295625 \times 10^{-1} = {\color{rgb(20,165,174)} x} \times 4.73176473\)
Switch sides
\({\color{rgb(20,165,174)} x} \times 4.73176473 = 2.95735295625 \times 10^{-1}\)
Isolate \({\color{rgb(20,165,174)} x}\)
Multiply both sides by \(\left(\dfrac{1.0}{4.73176473}\right)\)
\({\color{rgb(20,165,174)} x} \times 4.73176473 \times \dfrac{1.0}{4.73176473} = 2.95735295625 \times 10^{-1} \times \dfrac{1.0}{4.73176473}\)
\(\text{Cancel}\)
\({\color{rgb(20,165,174)} x} \times {\color{rgb(255,204,153)} \cancel{4.73176473}} \times \dfrac{1.0}{{\color{rgb(255,204,153)} \cancel{4.73176473}}} = 2.95735295625 \times 10^{-1} \times \dfrac{1.0}{4.73176473}\)
\(\text{Simplify}\)
\({\color{rgb(20,165,174)} x} = \dfrac{2.95735295625 \times 10^{-1}}{4.73176473}\)
Solve \({\color{rgb(20,165,174)} x}\)
\({\color{rgb(20,165,174)} x} = 0.0625 = 6.25 \times 10^{-2}\)
\(\text{Conversion Equation}\)
\(1.0\left(shot\right) = {\color{rgb(20,165,174)} 6.25 \times 10^{-2}}\left(pint\right)\)
