Convert dan(市石) to cubic fathom

Learn how to convert 1 dan(市石) to cubic fathom step by step.

Calculation Breakdown

Set up the equation

1.0 (d a n (市 石)) = x (c u b i c f a t h o 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 (d a n (市 石)) = 10^{- 1} (c u b i c m e t e r) = 10^{- 1} (m^{3})

Right 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})

Insert known values into the conversion equation to determine

x

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

Insert known values =>

1.0 \times 10^{- 1} \times (c u b i c m e t e r) = x \times 6.116438863872 \times (c u b i c m e t e r)

Or

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

Cancel SI units

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

Conversion Equation

10^{- 1} = x \times 6.116438863872

Switch sides

x \times 6.116438863872 = 10^{- 1}

Isolate

x

Multiply both sides by

(\frac{1.0}{6.116438863872})

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

Cancel

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

Simplify

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

Solve

x

x \approx 0.0163493827 \approx 1.6349 \times 10^{- 2}

Conversion Equation

1.0 (d a n (市 石)) \approx 1.6349 \times 10^{- 2} (c u b i c f a t h o m)

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