Convert tonne / gallon to ounce / gallon
Learn how to convert
1
tonne / gallon to
ounce / gallon
step by step.
Calculation Breakdown
Set up the equation
\(1.0\left(\dfrac{tonne}{gallon}\right)={\color{rgb(20,165,174)} x}\left(\dfrac{ounce}{gallon}\right)\)
Define the base values of the selected units in relation to the SI unit \(\left(\dfrac{{\color{rgb(230,179,255)} kilo}gram}{cubic \text{ } meter}\right)\)
\(\text{Left side: 1.0 } \left(\dfrac{tonne}{gallon}\right) = {\color{rgb(89,182,91)} \dfrac{1016.0469088}{3.785411784 \times 10^{-3}}\left(\dfrac{{\color{rgb(230,179,255)} kilo}gram}{cubic \text{ } meter}\right)} = {\color{rgb(89,182,91)} \dfrac{1016.0469088}{3.785411784 \times 10^{-3}}\left(\dfrac{{\color{rgb(230,179,255)} k}g}{m^{3}}\right)}\)
\(\text{Right side: 1.0 } \left(\dfrac{ounce}{gallon}\right) = {\color{rgb(125,164,120)} \dfrac{28.349523125}{4.54609}\left(\dfrac{{\color{rgb(230,179,255)} kilo}gram}{cubic \text{ } meter}\right)} = {\color{rgb(125,164,120)} \dfrac{28.349523125}{4.54609}\left(\dfrac{{\color{rgb(230,179,255)} k}g}{m^{3}}\right)}\)
Insert known values into the conversion equation to determine \({\color{rgb(20,165,174)} x}\)
\(1.0\left(\dfrac{tonne}{gallon}\right)={\color{rgb(20,165,174)} x}\left(\dfrac{ounce}{gallon}\right)\)
\(\text{Insert known values } =>\)
\(1.0 \times {\color{rgb(89,182,91)} \dfrac{1016.0469088}{3.785411784 \times 10^{-3}}} \times {\color{rgb(89,182,91)} \left(\dfrac{{\color{rgb(230,179,255)} kilo}gram}{cubic \text{ } meter}\right)} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} \dfrac{28.349523125}{4.54609}}} \times {\color{rgb(125,164,120)} \left(\dfrac{{\color{rgb(230,179,255)} kilo}gram}{cubic \text{ } meter}\right)}\)
\(\text{Or}\)
\(1.0 \cdot {\color{rgb(89,182,91)} \dfrac{1016.0469088}{3.785411784 \times 10^{-3}}} \cdot {\color{rgb(89,182,91)} \left(\dfrac{{\color{rgb(230,179,255)} k}g}{m^{3}}\right)} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} \dfrac{28.349523125}{4.54609}} \cdot {\color{rgb(125,164,120)} \left(\dfrac{{\color{rgb(230,179,255)} k}g}{m^{3}}\right)}\)
\(\text{Cancel SI units}\)
\(1.0 \times {\color{rgb(89,182,91)} \dfrac{1016.0469088}{3.785411784 \times 10^{-3}}} \cdot {\color{rgb(89,182,91)} \cancel{\left(\dfrac{{\color{rgb(230,179,255)} k}g}{m^{3}}\right)}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} \dfrac{28.349523125}{4.54609}} \times {\color{rgb(125,164,120)} \cancel{\left(\dfrac{{\color{rgb(230,179,255)} k}g}{m^{3}}\right)}}\)
\(\text{Conversion Equation}\)
\(\dfrac{1016.0469088}{3.785411784 \times 10^{-3}} = {\color{rgb(20,165,174)} x} \times \dfrac{28.349523125}{4.54609}\)
Switch sides
\({\color{rgb(20,165,174)} x} \times \dfrac{28.349523125}{4.54609} = \dfrac{1016.0469088}{3.785411784 \times 10^{-3}}\)
Isolate \({\color{rgb(20,165,174)} x}\)
Multiply both sides by \(\left(\dfrac{4.54609}{28.349523125}\right)\)
\({\color{rgb(20,165,174)} x} \times \dfrac{28.349523125}{4.54609} \times \dfrac{4.54609}{28.349523125} = \dfrac{1016.0469088}{3.785411784 \times 10^{-3}} \times \dfrac{4.54609}{28.349523125}\)
\(\text{Cancel}\)
\({\color{rgb(20,165,174)} x} \times \dfrac{{\color{rgb(255,204,153)} \cancel{28.349523125}} \times {\color{rgb(99,194,222)} \cancel{4.54609}}}{{\color{rgb(99,194,222)} \cancel{4.54609}} \times {\color{rgb(255,204,153)} \cancel{28.349523125}}} = \dfrac{1016.0469088 \times 4.54609}{3.785411784 \times 10^{-3} \times 28.349523125}\)
\(\text{Simplify}\)
\({\color{rgb(20,165,174)} x} = \dfrac{1016.0469088 \times 4.54609}{3.785411784 \times 10^{-3} \times 28.349523125}\)
Rewrite equation
\(\dfrac{1.0}{10^{-3}}\text{ can be rewritten to }10^{3}\)
\(\text{Rewrite}\)
\({\color{rgb(20,165,174)} x} = \dfrac{10^{3} \times 1016.0469088 \times 4.54609}{3.785411784 \times 28.349523125}\)
Solve \({\color{rgb(20,165,174)} x}\)
\({\color{rgb(20,165,174)} x}\approx43042.04533\approx4.3042 \times 10^{4}\)
\(\text{Conversion Equation}\)
\(1.0\left(\dfrac{tonne}{gallon}\right)\approx{\color{rgb(20,165,174)} 4.3042 \times 10^{4}}\left(\dfrac{ounce}{gallon}\right)\)
