Convert gallon to koku(石)

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

Calculation Breakdown

Set up the equation

1.0 (g a l l o n) = 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 (g a l l o n) = 4.621152048 \times 10^{- 3} (c u b i c m e t e r) = 4.621152048 \times 10^{- 3} (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 (g a l l o n) = x (k o k u (石))

Insert known values =>

1.0 \times 4.621152048 \times 10^{- 3} \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 4.621152048 \times 10^{- 3} \cdot (m^{3}) = x \cdot \frac{2401.0}{1.331 \times 10^{4}} \cdot (m^{3})

Cancel SI units

1.0 \times 4.621152048 \times 10^{- 3} \cdot (m^{3}) = x \times \frac{2401.0}{1.331 \times 10^{4}} \times (m^{3})

Conversion Equation

4.621152048 \times 10^{- 3} = x \times \frac{2401.0}{1.331 \times 10^{4}}

Switch sides

x \times \frac{2401.0}{1.331 \times 10^{4}} = 4.621152048 \times 10^{- 3}

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} = 4.621152048 \times 10^{- 3} \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} = 4.621152048 \times 10^{- 3} \times \frac{1.331 \times {10^{4}}^{10}}{2401.0}

Simplify

x = \frac{4.621152048 \times 1.331 \times 10.0}{2401.0}

Solve

x

x \approx 0.0256174651 \approx 2.5617 \times 10^{- 2}

Conversion Equation

1.0 (g a l l o n) \approx 2.5617 \times 10^{- 2} (k o k u (石))

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