Convert ton / cubic foot to ton / gallon

Learn how to convert 1 ton / cubic foot to ton / gallon step by step.

Calculation Breakdown

Set up the equation

1.0 (\frac{t o n}{c u b i c f o o t}) = x (\frac{t o n}{g a l l o n})

Define the base values of the selected units in relation to the SI unit

(\frac{k i l o g r a m}{c u b i c m e t e r})

Left side: 1.0 (\frac{t o n}{c u b i c f o o t}) = \frac{10^{5}}{2.8316846592} (\frac{k i l o g r a m}{c u b i c m e t e r}) = \frac{10^{5}}{2.8316846592} (\frac{k g}{m^{3}})

Right side: 1.0 (\frac{t o n}{g a l l o n}) = \frac{10^{6}}{3.785411784} (\frac{k i l o g r a m}{c u b i c m e t e r}) = \frac{10^{6}}{3.785411784} (\frac{k g}{m^{3}})

Insert known values into the conversion equation to determine

x

1.0 (\frac{t o n}{c u b i c f o o t}) = x (\frac{t o n}{g a l l o n})

Insert known values =>

1.0 \times \frac{10^{5}}{2.8316846592} \times (\frac{k i l o g r a m}{c u b i c m e t e r}) = x \times \frac{10^{6}}{3.785411784} \times (\frac{k i l o g r a m}{c u b i c m e t e r})

Or

1.0 \cdot \frac{10^{5}}{2.8316846592} \cdot (\frac{k g}{m^{3}}) = x \cdot \frac{10^{6}}{3.785411784} \cdot (\frac{k g}{m^{3}})

Cancel SI units

1.0 \times \frac{10^{5}}{2.8316846592} \cdot (\frac{k g}{m^{3}}) = x \times \frac{10^{6}}{3.785411784} \times (\frac{k g}{m^{3}})

Conversion Equation

\frac{10^{5}}{2.8316846592} = x \times \frac{10^{6}}{3.785411784}

Cancel factors on both sides

Cancel factors

\frac{10^{5}}{2.8316846592} = x \times \frac{{10^{6}}^{10}}{3.785411784}

Switch sides

x \times \frac{10.0}{3.785411784} = \frac{1.0}{2.8316846592}

Isolate

x

Multiply both sides by

(\frac{3.785411784}{10.0})

x \times \frac{10.0}{3.785411784} \times \frac{3.785411784}{10.0} = \frac{1.0}{2.8316846592} \times \frac{3.785411784}{10.0}

Cancel

x \times \frac{10.0 \times 3.785411784}{3.785411784 \times 10.0} = \frac{1.0 \times 3.785411784}{2.8316846592 \times 10.0}

Simplify

x = \frac{3.785411784}{2.8316846592 \times 10.0}

Solve

x

x \approx 0.1336805556 \approx 1.3368 \times 10^{- 1}

Conversion Equation

1.0 (\frac{t o n}{c u b i c f o o t}) \approx 1.3368 \times 10^{- 1} (\frac{t o n}{g a l l o n})

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