Convert petrol to displacement ton

Learn how to convert 1 petrol to displacement ton step by step.

Calculation Breakdown

Set up the equation

1.0 (p e t r o l) = x (d i s p l a c e m e n t t o n)

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

(c u b i c m e t e r)

Left side: 1.0 (p e t r o l) = \frac{10.0}{7.2} (c u b i c m e t e r) = \frac{10.0}{7.2} (m^{3})

Right side: 1.0 (d i s p l a c e m e n t t o n) = 9.9108963072 \times 10^{- 1} (c u b i c m e t e r) = 9.9108963072 \times 10^{- 1} (m^{3})

Insert known values into the conversion equation to determine

x

1.0 (p e t r o l) = x (d i s p l a c e m e n t t o n)

Insert known values =>

1.0 \times \frac{10.0}{7.2} \times (c u b i c m e t e r) = x \times 9.9108963072 \times 10^{- 1} \times (c u b i c m e t e r)

Or

1.0 \cdot \frac{10.0}{7.2} \cdot (m^{3}) = x \cdot 9.9108963072 \times 10^{- 1} \cdot (m^{3})

Cancel SI units

1.0 \times \frac{10.0}{7.2} \cdot (m^{3}) = x \times 9.9108963072 \times 10^{- 1} \times (m^{3})

Conversion Equation

\frac{10.0}{7.2} = x \times 9.9108963072 \times 10^{- 1}

Switch sides

x \times 9.9108963072 \times 10^{- 1} = \frac{10.0}{7.2}

Isolate

x

Multiply both sides by

(\frac{1.0}{9.9108963072 \times 10^{- 1}})

x \times 9.9108963072 \times 10^{- 1} \times \frac{1.0}{9.9108963072 \times 10^{- 1}} = \frac{10.0}{7.2} \times \frac{1.0}{9.9108963072 \times 10^{- 1}}

Cancel

x \times 9.9108963072 \times 10^{- 1} \times \frac{1.0}{9.9108963072 \times 10^{- 1}} = \frac{10.0 \times 1.0}{7.2 \times 9.9108963072 \times 10^{- 1}}

Simplify

x = \frac{10.0}{7.2 \times 9.9108963072 \times 10^{- 1}}

Rewrite equation

\frac{1.0}{10^{- 1}} can be rewritten to 10

Rewrite

x = \frac{10.0 \times 10.0}{7.2 \times 9.9108963072}

Simplify

x = \frac{{10.0}^{2}}{7.2 \times 9.9108963072}

Solve

x

x \approx 1.4013756636 \approx 1.4014

Conversion Equation

1.0 (p e t r o l) \approx 1.4014 (d i s p l a c e m e n t t o n)

View All Examples