Convert diesel to hogshead

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

Calculation Breakdown

Set up the equation

1.0 (d i e s e l) = x (h o g s h e a d)

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 (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})

Right side: 1.0 (h o g s h e a d) = 2.38480942392 \times 10^{- 1} (c u b i c m e t e r) = 2.38480942392 \times 10^{- 1} (m^{3})

Insert known values into the conversion equation to determine

x

1.0 (d i e s e l) = x (h o g s h e a d)

Insert known values =>

1.0 \times \frac{10.0}{8.5} \times (c u b i c m e t e r) = x \times 2.38480942392 \times 10^{- 1} \times (c u b i c m e t e r)

Or

1.0 \cdot \frac{10.0}{8.5} \cdot (m^{3}) = x \cdot 2.38480942392 \times 10^{- 1} \cdot (m^{3})

Cancel SI units

1.0 \times \frac{10.0}{8.5} \cdot (m^{3}) = x \times 2.38480942392 \times 10^{- 1} \times (m^{3})

Conversion Equation

\frac{10.0}{8.5} = x \times 2.38480942392 \times 10^{- 1}

Switch sides

x \times 2.38480942392 \times 10^{- 1} = \frac{10.0}{8.5}

Isolate

x

Multiply both sides by

(\frac{1.0}{2.38480942392 \times 10^{- 1}})

x \times 2.38480942392 \times 10^{- 1} \times \frac{1.0}{2.38480942392 \times 10^{- 1}} = \frac{10.0}{8.5} \times \frac{1.0}{2.38480942392 \times 10^{- 1}}

Cancel

x \times 2.38480942392 \times 10^{- 1} \times \frac{1.0}{2.38480942392 \times 10^{- 1}} = \frac{10.0 \times 1.0}{8.5 \times 2.38480942392 \times 10^{- 1}}

Simplify

x = \frac{10.0}{8.5 \times 2.38480942392 \times 10^{- 1}}

Rewrite equation

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

Rewrite

x = \frac{10.0 \times 10.0}{8.5 \times 2.38480942392}

Simplify

x = \frac{{10.0}^{2}}{8.5 \times 2.38480942392}

Solve

x

x \approx 4.933184918 \approx 4.9332

Conversion Equation

1.0 (d i e s e l) \approx 4.9332 (h o g s h e a d)

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