Convert cubic fathom to koku(石)

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

Calculation Breakdown

Set up the equation

1.0 (c u b i c f a t h o m) = x (k o k u (石))

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 (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})

Insert known values into the conversion equation to determine

x

1.0 (c u b i c f a t h o m) = x (k o k u (石))

Insert known values =>

1.0 \times 6.116438863872 \times (c u b i c m e t e r) = x \times \frac{2401.0}{1.331 \times 10^{4}} \times (c u b i c m e t e r)

Or

1.0 \cdot 6.116438863872 \cdot (m^{3}) = x \cdot \frac{2401.0}{1.331 \times 10^{4}} \cdot (m^{3})

Cancel SI units

1.0 \times 6.116438863872 \cdot (m^{3}) = x \times \frac{2401.0}{1.331 \times 10^{4}} \times (m^{3})

Conversion Equation

6.116438863872 = x \times \frac{2401.0}{1.331 \times 10^{4}}

Switch sides

x \times \frac{2401.0}{1.331 \times 10^{4}} = 6.116438863872

Isolate

x

Multiply both sides by

(\frac{1.331 \times 10^{4}}{2401.0})

x \times \frac{2401.0}{1.331 \times 10^{4}} \times \frac{1.331 \times 10^{4}}{2401.0} = 6.116438863872 \times \frac{1.331 \times 10^{4}}{2401.0}

Cancel

x \times \frac{2401.0 \times 1.331 \times 10^{4}}{1.331 \times 10^{4} \times 2401.0} = 6.116438863872 \times \frac{1.331 \times 10^{4}}{2401.0}

Simplify

x = \frac{6.116438863872 \times 1.331 \times 10^{4}}{2401.0}

Solve

x

x \approx 33.906622773 \approx 33.9066

Conversion Equation

1.0 (c u b i c f a t h o m) \approx 33.9066 (k o k u (石))

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