Convert hogshead to minim

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

Calculation Breakdown

Set up the equation

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

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 (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})

Right side: 1.0 (m i n i m) = 5.91938802083333 \times 10^{- 8} (c u b i c m e t e r) = 5.91938802083333 \times 10^{- 8} (m^{3})

Insert known values into the conversion equation to determine

x

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

Insert known values =>

1.0 \times 2.38480942392 \times 10^{- 1} \times (c u b i c m e t e r) = x \times 5.91938802083333 \times 10^{- 8} \times (c u b i c m e t e r)

Or

1.0 \cdot 2.38480942392 \times 10^{- 1} \cdot (m^{3}) = x \cdot 5.91938802083333 \times 10^{- 8} \cdot (m^{3})

Cancel SI units

1.0 \times 2.38480942392 \times 10^{- 1} \cdot (m^{3}) = x \times 5.91938802083333 \times 10^{- 8} \times (m^{3})

Conversion Equation

2.38480942392 \times 10^{- 1} = x \times 5.91938802083333 \times 10^{- 8}

Cancel factors on both sides

Cancel factors

2.38480942392 \times 10^{- 1} = x \times 5.91938802083333 \times {10^{- 8}}^{10^{- 7}}

Simplify

2.38480942392 = x \times 5.91938802083333 \times 10^{- 7}

Switch sides

x \times 5.91938802083333 \times 10^{- 7} = 2.38480942392

Isolate

x

Multiply both sides by

(\frac{1.0}{5.91938802083333 \times 10^{- 7}})

x \times 5.91938802083333 \times 10^{- 7} \times \frac{1.0}{5.91938802083333 \times 10^{- 7}} = 2.38480942392 \times \frac{1.0}{5.91938802083333 \times 10^{- 7}}

Cancel

x \times 5.91938802083333 \times 10^{- 7} \times \frac{1.0}{5.91938802083333 \times 10^{- 7}} = 2.38480942392 \times \frac{1.0}{5.91938802083333 \times 10^{- 7}}

Simplify

x = \frac{2.38480942392}{5.91938802083333 \times 10^{- 7}}

Rewrite equation

\frac{1.0}{10^{- 7}} can be rewritten to 10^{7}

Rewrite

x = \frac{10^{7} \times 2.38480942392}{5.91938802083333}

Solve

x

x \approx 4028810.7749 \approx 4.0288 \times 10^{6}

Conversion Equation

1.0 (h o g s h e a d) \approx 4.0288 \times 10^{6} (m i n i m)

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