Convert koku(石) to hogshead

Learn how to convert 1 koku(石) to hogshead step by step.

Calculation Breakdown

Set up the equation

1.0 (k o k u (石)) = 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 (k o k u (石)) = \frac{2401.0}{1.331 \times 10^{4}} (c u b i c m e t e r) = \frac{2401.0}{1.331 \times 10^{4}} (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 (k o k u (石)) = x (h o g s h e a d)

Insert known values =>

1.0 \times \frac{2401.0}{1.331 \times 10^{4}} \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{2401.0}{1.331 \times 10^{4}} \cdot (m^{3}) = x \cdot 2.38480942392 \times 10^{- 1} \cdot (m^{3})

Cancel SI units

1.0 \times \frac{2401.0}{1.331 \times 10^{4}} \cdot (m^{3}) = x \times 2.38480942392 \times 10^{- 1} \times (m^{3})

Conversion Equation

\frac{2401.0}{1.331 \times 10^{4}} = x \times 2.38480942392 \times 10^{- 1}

Switch sides

x \times 2.38480942392 \times 10^{- 1} = \frac{2401.0}{1.331 \times 10^{4}}

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{2401.0}{1.331 \times 10^{4}} \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{2401.0 \times 1.0}{1.331 \times {10^{4}}^{10^{3}} \times 2.38480942392 \times 10^{- 1}}

Simplify

x = \frac{2401.0}{1.331 \times 10^{3} \times 2.38480942392}

Rewrite equation

\frac{1.0}{10^{3}} can be rewritten to 10^{- 3}

Rewrite

x = \frac{10^{- 3} \times 2401.0}{1.331 \times 2.38480942392}

Solve

x

x \approx 0.7564155101 \approx 7.5642 \times 10^{- 1}

Conversion Equation

1.0 (k o k u (石)) \approx 7.5642 \times 10^{- 1} (h o g s h e a d)

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