Convert petrol to diesel

Learn how to convert 1 petrol to diesel step by step.

Calculation Breakdown

Set up the equation

1.0 (p e t r o l) = x (d i e s e l)

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 e s e l) = \frac{10.0}{8.5} (c u b i c m e t e r) = \frac{10.0}{8.5} (m^{3})

Insert known values into the conversion equation to determine

x

1.0 (p e t r o l) = x (d i e s e l)

Insert known values =>

1.0 \times \frac{10.0}{7.2} \times (c u b i c m e t e r) = x \times \frac{10.0}{8.5} \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 \frac{10.0}{8.5} \cdot (m^{3})

Cancel SI units

1.0 \times \frac{10.0}{7.2} \cdot (m^{3}) = x \times \frac{10.0}{8.5} \times (m^{3})

Conversion Equation

\frac{10.0}{7.2} = x \times \frac{10.0}{8.5}

Cancel factors on both sides

Cancel factors

\frac{10.0}{7.2} = x \times \frac{10.0}{8.5}

Switch sides

x \times \frac{1.0}{8.5} = \frac{1.0}{7.2}

Isolate

x

Multiply both sides by

(\frac{8.5}{1.0})

x \times \frac{1.0}{8.5} \times \frac{8.5}{1.0} = \frac{1.0}{7.2} \times \frac{8.5}{1.0}

Cancel

x \times \frac{1.0 \times 8.5}{8.5 \times 1.0} = \frac{1.0 \times 8.5}{7.2 \times 1.0}

Simplify

x = \frac{8.5}{7.2}

Solve

x

x \approx 1.1805555556 \approx 1.1806

Conversion Equation

1.0 (p e t r o l) \approx 1.1806 (d i e s e l)

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