Convert water ton to shot

Learn how to convert 1 water ton to shot step by step.

Calculation Breakdown

Set up the equation
\(1.0\left(water \text{ } ton\right)={\color{rgb(20,165,174)} x}\left(shot\right)\)
Define the base values of the selected units in relation to the SI unit \(\left(cubic \text{ } meter\right)\)
\(\text{Left side: 1.0 } \left(water \text{ } ton\right) = {\color{rgb(89,182,91)} 1.01832416\left(cubic \text{ } meter\right)} = {\color{rgb(89,182,91)} 1.01832416\left(m^{3}\right)}\)
\(\text{Right side: 1.0 } \left(shot\right) = {\color{rgb(125,164,120)} 2.95735295625 \times 10^{-5}\left(cubic \text{ } meter\right)} = {\color{rgb(125,164,120)} 2.95735295625 \times 10^{-5}\left(m^{3}\right)}\)
Insert known values into the conversion equation to determine \({\color{rgb(20,165,174)} x}\)
\(1.0\left(water \text{ } ton\right)={\color{rgb(20,165,174)} x}\left(shot\right)\)
\(\text{Insert known values } =>\)
\(1.0 \times {\color{rgb(89,182,91)} 1.01832416} \times {\color{rgb(89,182,91)} \left(cubic \text{ } meter\right)} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} 2.95735295625 \times 10^{-5}}} \times {\color{rgb(125,164,120)} \left(cubic \text{ } meter\right)}\)
\(\text{Or}\)
\(1.0 \cdot {\color{rgb(89,182,91)} 1.01832416} \cdot {\color{rgb(89,182,91)} \left(m^{3}\right)} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} 2.95735295625 \times 10^{-5}} \cdot {\color{rgb(125,164,120)} \left(m^{3}\right)}\)
\(\text{Cancel SI units}\)
\(1.0 \times {\color{rgb(89,182,91)} 1.01832416} \cdot {\color{rgb(89,182,91)} \cancel{\left(m^{3}\right)}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} 2.95735295625 \times 10^{-5}} \times {\color{rgb(125,164,120)} \cancel{\left(m^{3}\right)}}\)
\(\text{Conversion Equation}\)
\(1.01832416 = {\color{rgb(20,165,174)} x} \times 2.95735295625 \times 10^{-5}\)
Switch sides
\({\color{rgb(20,165,174)} x} \times 2.95735295625 \times 10^{-5} = 1.01832416\)
Isolate \({\color{rgb(20,165,174)} x}\)
Multiply both sides by \(\left(\dfrac{1.0}{2.95735295625 \times 10^{-5}}\right)\)
\({\color{rgb(20,165,174)} x} \times 2.95735295625 \times 10^{-5} \times \dfrac{1.0}{2.95735295625 \times 10^{-5}} = 1.01832416 \times \dfrac{1.0}{2.95735295625 \times 10^{-5}}\)
\(\text{Cancel}\)
\({\color{rgb(20,165,174)} x} \times {\color{rgb(255,204,153)} \cancel{2.95735295625}} \times {\color{rgb(99,194,222)} \cancel{10^{-5}}} \times \dfrac{1.0}{{\color{rgb(255,204,153)} \cancel{2.95735295625}} \times {\color{rgb(99,194,222)} \cancel{10^{-5}}}} = 1.01832416 \times \dfrac{1.0}{2.95735295625 \times 10^{-5}}\)
\(\text{Simplify}\)
\({\color{rgb(20,165,174)} x} = \dfrac{1.01832416}{2.95735295625 \times 10^{-5}}\)
Rewrite equation
\(\dfrac{1.0}{10^{-5}}\text{ can be rewritten to }10^{5}\)
\(\text{Rewrite}\)
\({\color{rgb(20,165,174)} x} = \dfrac{10^{5} \times 1.01832416}{2.95735295625}\)
Solve \({\color{rgb(20,165,174)} x}\)
\({\color{rgb(20,165,174)} x}\approx34433.636264\approx3.4434 \times 10^{4}\)
\(\text{Conversion Equation}\)
\(1.0\left(water \text{ } ton\right)\approx{\color{rgb(20,165,174)} 3.4434 \times 10^{4}}\left(shot\right)\)

Cookie Policy

PLEASE READ AND ACCEPT OUR COOKIE POLICY.