Convert tonne / cubic foot to ton / cubic foot

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

Calculation Breakdown

Set up the equation

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

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 n e}{c u b i c f o o t}) = \frac{1016.0469088}{2.8316846592 \times 10^{- 2}} (\frac{k i l o g r a m}{c u b i c m e t e r}) = \frac{1016.0469088}{2.8316846592 \times 10^{- 2}} (\frac{k g}{m^{3}})

Right 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}})

Insert known values into the conversion equation to determine

x

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

Insert known values =>

1.0 \times \frac{1016.0469088}{2.8316846592 \times 10^{- 2}} \times (\frac{k i l o g r a m}{c u b i c m e t e r}) = x \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})

Or

1.0 \cdot \frac{1016.0469088}{2.8316846592 \times 10^{- 2}} \cdot (\frac{k g}{m^{3}}) = x \cdot \frac{10^{5}}{2.8316846592} \cdot (\frac{k g}{m^{3}})

Cancel SI units

1.0 \times \frac{1016.0469088}{2.8316846592 \times 10^{- 2}} \cdot (\frac{k g}{m^{3}}) = x \times \frac{10^{5}}{2.8316846592} \times (\frac{k g}{m^{3}})

Conversion Equation

\frac{1016.0469088}{2.8316846592 \times 10^{- 2}} = x \times \frac{10^{5}}{2.8316846592}

Cancel factors on both sides

Cancel factors

\frac{1016.0469088}{2.8316846592 \times 10^{- 2}} = x \times \frac{10^{5}}{2.8316846592}

Simplify

\frac{1016.0469088}{10^{- 2}} = x \times 10^{5}

Switch sides

x \times 10^{5} = \frac{1016.0469088}{10^{- 2}}

Isolate

x

Multiply both sides by

(\frac{1.0}{10^{5}})

x \times 10^{5} \times \frac{1.0}{10^{5}} = \frac{1016.0469088}{10^{- 2}} \times \frac{1.0}{10^{5}}

Cancel

x \times 10^{5} \times \frac{1.0}{10^{5}} = \frac{1016.0469088 \times 1.0}{10^{- 2} \times {10^{5}}^{10^{3}}}

Simplify

x = \frac{1016.0469088}{10^{3}}

Rewrite equation

\frac{1.0}{10^{3}} can be rewritten to 10^{- 3}

Rewrite

x = 10^{- 3} \times 1016.0469088

Solve

x

x = 1.0160469088 \approx 1.016

Conversion Equation

1.0 (\frac{t o n n e}{c u b i c f o o t}) \approx 1.016 (\frac{t o n}{c u b i c f o o t})

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