Convert cubic fathom to hogshead

Learn how to convert 1 cubic fathom to hogshead step by step.

Calculation Breakdown

Set up the equation

1.0 (c u b i c f a t h o m) = 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 (c u b i c f a t h o m) = 6.116438863872 (c u b i c m e t e r) = 6.116438863872 (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 (c u b i c f a t h o m) = x (h o g s h e a d)

Insert known values =>

1.0 \times 6.116438863872 \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 6.116438863872 \cdot (m^{3}) = x \cdot 2.38480942392 \times 10^{- 1} \cdot (m^{3})

Cancel SI units

1.0 \times 6.116438863872 \cdot (m^{3}) = x \times 2.38480942392 \times 10^{- 1} \times (m^{3})

Conversion Equation

6.116438863872 = x \times 2.38480942392 \times 10^{- 1}

Switch sides

x \times 2.38480942392 \times 10^{- 1} = 6.116438863872

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}} = 6.116438863872 \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}} = 6.116438863872 \times \frac{1.0}{2.38480942392 \times 10^{- 1}}

Simplify

x = \frac{6.116438863872}{2.38480942392 \times 10^{- 1}}

Rewrite equation

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

Rewrite

x = \frac{10.0 \times 6.116438863872}{2.38480942392}

Solve

x

x \approx 25.647495362 \approx 25.6475

Conversion Equation

1.0 (c u b i c f a t h o m) \approx 25.6475 (h o g s h e a d)

View All Examples