Convert tonne / gallon to ounce / cubic inch
Learn how to convert
1
tonne / gallon to
ounce / cubic inch
step by step.
Calculation Breakdown
Set up the equation
\(1.0\left(\dfrac{tonne}{gallon}\right)={\color{rgb(20,165,174)} x}\left(\dfrac{ounce}{cubic \text{ } inch}\right)\)
Define the base values of the selected units in relation to the SI unit \(\left(\dfrac{{\color{rgb(230,179,255)} kilo}gram}{cubic \text{ } meter}\right)\)
\(\text{Left side: 1.0 } \left(\dfrac{tonne}{gallon}\right) = {\color{rgb(89,182,91)} \dfrac{1016.0469088}{4.54609 \times 10^{-3}}\left(\dfrac{{\color{rgb(230,179,255)} kilo}gram}{cubic \text{ } meter}\right)} = {\color{rgb(89,182,91)} \dfrac{1016.0469088}{4.54609 \times 10^{-3}}\left(\dfrac{{\color{rgb(230,179,255)} k}g}{m^{3}}\right)}\)
\(\text{Right side: 1.0 } \left(\dfrac{ounce}{cubic \text{ } inch}\right) = {\color{rgb(125,164,120)} \dfrac{2.8349523125}{1.6387064 \times 10^{-3}}\left(\dfrac{{\color{rgb(230,179,255)} kilo}gram}{cubic \text{ } meter}\right)} = {\color{rgb(125,164,120)} \dfrac{2.8349523125}{1.6387064 \times 10^{-3}}\left(\dfrac{{\color{rgb(230,179,255)} k}g}{m^{3}}\right)}\)
Insert known values into the conversion equation to determine \({\color{rgb(20,165,174)} x}\)
\(1.0\left(\dfrac{tonne}{gallon}\right)={\color{rgb(20,165,174)} x}\left(\dfrac{ounce}{cubic \text{ } inch}\right)\)
\(\text{Insert known values } =>\)
\(1.0 \times {\color{rgb(89,182,91)} \dfrac{1016.0469088}{4.54609 \times 10^{-3}}} \times {\color{rgb(89,182,91)} \left(\dfrac{{\color{rgb(230,179,255)} kilo}gram}{cubic \text{ } meter}\right)} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} \dfrac{2.8349523125}{1.6387064 \times 10^{-3}}}} \times {\color{rgb(125,164,120)} \left(\dfrac{{\color{rgb(230,179,255)} kilo}gram}{cubic \text{ } meter}\right)}\)
\(\text{Or}\)
\(1.0 \cdot {\color{rgb(89,182,91)} \dfrac{1016.0469088}{4.54609 \times 10^{-3}}} \cdot {\color{rgb(89,182,91)} \left(\dfrac{{\color{rgb(230,179,255)} k}g}{m^{3}}\right)} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} \dfrac{2.8349523125}{1.6387064 \times 10^{-3}}} \cdot {\color{rgb(125,164,120)} \left(\dfrac{{\color{rgb(230,179,255)} k}g}{m^{3}}\right)}\)
\(\text{Cancel SI units}\)
\(1.0 \times {\color{rgb(89,182,91)} \dfrac{1016.0469088}{4.54609 \times 10^{-3}}} \cdot {\color{rgb(89,182,91)} \cancel{\left(\dfrac{{\color{rgb(230,179,255)} k}g}{m^{3}}\right)}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} \dfrac{2.8349523125}{1.6387064 \times 10^{-3}}} \times {\color{rgb(125,164,120)} \cancel{\left(\dfrac{{\color{rgb(230,179,255)} k}g}{m^{3}}\right)}}\)
\(\text{Conversion Equation}\)
\(\dfrac{1016.0469088}{4.54609 \times 10^{-3}} = {\color{rgb(20,165,174)} x} \times \dfrac{2.8349523125}{1.6387064 \times 10^{-3}}\)
Cancel factors on both sides
\(\text{Cancel factors}\)
\(\dfrac{1016.0469088}{4.54609 \times {\color{rgb(255,204,153)} \cancel{10^{-3}}}} = {\color{rgb(20,165,174)} x} \times \dfrac{2.8349523125}{1.6387064 \times {\color{rgb(255,204,153)} \cancel{10^{-3}}}}\)
\(\text{Simplify}\)
\(\dfrac{1016.0469088}{4.54609} = {\color{rgb(20,165,174)} x} \times \dfrac{2.8349523125}{1.6387064}\)
Switch sides
\({\color{rgb(20,165,174)} x} \times \dfrac{2.8349523125}{1.6387064} = \dfrac{1016.0469088}{4.54609}\)
Isolate \({\color{rgb(20,165,174)} x}\)
Multiply both sides by \(\left(\dfrac{1.6387064}{2.8349523125}\right)\)
\({\color{rgb(20,165,174)} x} \times \dfrac{2.8349523125}{1.6387064} \times \dfrac{1.6387064}{2.8349523125} = \dfrac{1016.0469088}{4.54609} \times \dfrac{1.6387064}{2.8349523125}\)
\(\text{Cancel}\)
\({\color{rgb(20,165,174)} x} \times \dfrac{{\color{rgb(255,204,153)} \cancel{2.8349523125}} \times {\color{rgb(99,194,222)} \cancel{1.6387064}}}{{\color{rgb(99,194,222)} \cancel{1.6387064}} \times {\color{rgb(255,204,153)} \cancel{2.8349523125}}} = \dfrac{1016.0469088 \times 1.6387064}{4.54609 \times 2.8349523125}\)
\(\text{Simplify}\)
\({\color{rgb(20,165,174)} x} = \dfrac{1016.0469088 \times 1.6387064}{4.54609 \times 2.8349523125}\)
Solve \({\color{rgb(20,165,174)} x}\)
\({\color{rgb(20,165,174)} x}\approx129.19066137\approx1.2919 \times 10^{2}\)
\(\text{Conversion Equation}\)
\(1.0\left(\dfrac{tonne}{gallon}\right)\approx{\color{rgb(20,165,174)} 1.2919 \times 10^{2}}\left(\dfrac{ounce}{cubic \text{ } inch}\right)\)
