Convert tonne / barrel to grain / bushel
Learn how to convert
1
tonne / barrel to
grain / bushel
step by step.
Calculation Breakdown
Set up the equation
\(1.0\left(\dfrac{tonne}{barrel}\right)={\color{rgb(20,165,174)} x}\left(\dfrac{grain}{bushel}\right)\)
Define the base values of the selected units in relation to the SI unit \(\left(\dfrac{{\color{rgb(230,179,255)} kilo}gram}{cubic \text{ } meter}\right)\)
\(\text{Left side: 1.0 } \left(\dfrac{tonne}{barrel}\right) = {\color{rgb(89,182,91)} \dfrac{1016.0469088}{0.16365924}\left(\dfrac{{\color{rgb(230,179,255)} kilo}gram}{cubic \text{ } meter}\right)} = {\color{rgb(89,182,91)} \dfrac{1016.0469088}{0.16365924}\left(\dfrac{{\color{rgb(230,179,255)} k}g}{m^{3}}\right)}\)
\(\text{Right side: 1.0 } \left(\dfrac{grain}{bushel}\right) = {\color{rgb(125,164,120)} \dfrac{6.479891 \times 10^{-3}}{3.523907016688}\left(\dfrac{{\color{rgb(230,179,255)} kilo}gram}{cubic \text{ } meter}\right)} = {\color{rgb(125,164,120)} \dfrac{6.479891 \times 10^{-3}}{3.523907016688}\left(\dfrac{{\color{rgb(230,179,255)} k}g}{m^{3}}\right)}\)
Insert known values into the conversion equation to determine \({\color{rgb(20,165,174)} x}\)
\(1.0\left(\dfrac{tonne}{barrel}\right)={\color{rgb(20,165,174)} x}\left(\dfrac{grain}{bushel}\right)\)
\(\text{Insert known values } =>\)
\(1.0 \times {\color{rgb(89,182,91)} \dfrac{1016.0469088}{0.16365924}} \times {\color{rgb(89,182,91)} \left(\dfrac{{\color{rgb(230,179,255)} kilo}gram}{cubic \text{ } meter}\right)} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} \dfrac{6.479891 \times 10^{-3}}{3.523907016688}}} \times {\color{rgb(125,164,120)} \left(\dfrac{{\color{rgb(230,179,255)} kilo}gram}{cubic \text{ } meter}\right)}\)
\(\text{Or}\)
\(1.0 \cdot {\color{rgb(89,182,91)} \dfrac{1016.0469088}{0.16365924}} \cdot {\color{rgb(89,182,91)} \left(\dfrac{{\color{rgb(230,179,255)} k}g}{m^{3}}\right)} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} \dfrac{6.479891 \times 10^{-3}}{3.523907016688}} \cdot {\color{rgb(125,164,120)} \left(\dfrac{{\color{rgb(230,179,255)} k}g}{m^{3}}\right)}\)
\(\text{Cancel SI units}\)
\(1.0 \times {\color{rgb(89,182,91)} \dfrac{1016.0469088}{0.16365924}} \cdot {\color{rgb(89,182,91)} \cancel{\left(\dfrac{{\color{rgb(230,179,255)} k}g}{m^{3}}\right)}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} \dfrac{6.479891 \times 10^{-3}}{3.523907016688}} \times {\color{rgb(125,164,120)} \cancel{\left(\dfrac{{\color{rgb(230,179,255)} k}g}{m^{3}}\right)}}\)
\(\text{Conversion Equation}\)
\(\dfrac{1016.0469088}{0.16365924} = {\color{rgb(20,165,174)} x} \times \dfrac{6.479891 \times 10^{-3}}{3.523907016688}\)
Switch sides
\({\color{rgb(20,165,174)} x} \times \dfrac{6.479891 \times 10^{-3}}{3.523907016688} = \dfrac{1016.0469088}{0.16365924}\)
Isolate \({\color{rgb(20,165,174)} x}\)
Multiply both sides by \(\left(\dfrac{3.523907016688}{6.479891 \times 10^{-3}}\right)\)
\({\color{rgb(20,165,174)} x} \times \dfrac{6.479891 \times 10^{-3}}{3.523907016688} \times \dfrac{3.523907016688}{6.479891 \times 10^{-3}} = \dfrac{1016.0469088}{0.16365924} \times \dfrac{3.523907016688}{6.479891 \times 10^{-3}}\)
\(\text{Cancel}\)
\({\color{rgb(20,165,174)} x} \times \dfrac{{\color{rgb(255,204,153)} \cancel{6.479891}} \times {\color{rgb(99,194,222)} \cancel{10^{-3}}} \times {\color{rgb(166,218,227)} \cancel{3.523907016688}}}{{\color{rgb(166,218,227)} \cancel{3.523907016688}} \times {\color{rgb(255,204,153)} \cancel{6.479891}} \times {\color{rgb(99,194,222)} \cancel{10^{-3}}}} = \dfrac{1016.0469088 \times 3.523907016688}{0.16365924 \times 6.479891 \times 10^{-3}}\)
\(\text{Simplify}\)
\({\color{rgb(20,165,174)} x} = \dfrac{1016.0469088 \times 3.523907016688}{0.16365924 \times 6.479891 \times 10^{-3}}\)
Rewrite equation
\(\dfrac{1.0}{10^{-3}}\text{ can be rewritten to }10^{3}\)
\(\text{Rewrite}\)
\({\color{rgb(20,165,174)} x} = \dfrac{10^{3} \times 1016.0469088 \times 3.523907016688}{0.16365924 \times 6.479891}\)
Solve \({\color{rgb(20,165,174)} x}\)
\({\color{rgb(20,165,174)} x}\approx3376214.0177\approx3.3762 \times 10^{6}\)
\(\text{Conversion Equation}\)
\(1.0\left(\dfrac{tonne}{barrel}\right)\approx{\color{rgb(20,165,174)} 3.3762 \times 10^{6}}\left(\dfrac{grain}{bushel}\right)\)
