Convert bucket to hogshead

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

Calculation Breakdown

Set up the equation

1.0 (b u c k e t) = 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 (b u c k e t) = 1.818436 \times 10^{- 2} (c u b i c m e t e r) = 1.818436 \times 10^{- 2} (m^{3})

Right side: 1.0 (h o g s h e a d) = 3.2731848 \times 10^{- 1} (c u b i c m e t e r) = 3.2731848 \times 10^{- 1} (m^{3})

Insert known values into the conversion equation to determine

x

1.0 (b u c k e t) = x (h o g s h e a d)

Insert known values =>

1.0 \times 1.818436 \times 10^{- 2} \times (c u b i c m e t e r) = x \times 3.2731848 \times 10^{- 1} \times (c u b i c m e t e r)

Or

1.0 \cdot 1.818436 \times 10^{- 2} \cdot (m^{3}) = x \cdot 3.2731848 \times 10^{- 1} \cdot (m^{3})

Cancel SI units

1.0 \times 1.818436 \times 10^{- 2} \cdot (m^{3}) = x \times 3.2731848 \times 10^{- 1} \times (m^{3})

Conversion Equation

1.818436 \times 10^{- 2} = x \times 3.2731848 \times 10^{- 1}

Cancel factors on both sides

Cancel factors

1.818436 \times {10^{- 2}}^{10^{- 1}} = x \times 3.2731848 \times 10^{- 1}

Simplify

1.818436 \times 10^{- 1} = x \times 3.2731848

Switch sides

x \times 3.2731848 = 1.818436 \times 10^{- 1}

Isolate

x

Multiply both sides by

(\frac{1.0}{3.2731848})

x \times 3.2731848 \times \frac{1.0}{3.2731848} = 1.818436 \times 10^{- 1} \times \frac{1.0}{3.2731848}

Cancel

x \times 3.2731848 \times \frac{1.0}{3.2731848} = 1.818436 \times 10^{- 1} \times \frac{1.0}{3.2731848}

Simplify

x = \frac{1.818436 \times 10^{- 1}}{3.2731848}

Solve

x

x \approx 0.0555555556 \approx 5.5556 \times 10^{- 2}

Conversion Equation

1.0 (b u c k e t) \approx 5.5556 \times 10^{- 2} (h o g s h e a d)

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