Convert go(合) to gill

Learn how to convert 1 go(合) to gill step by step.

Calculation Breakdown

Set up the equation

1.0 (g o (合)) = x (g i l l)

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 o (合)) = \frac{2401.0}{1.331 \times 10^{7}} (c u b i c m e t e r) = \frac{2401.0}{1.331 \times 10^{7}} (m^{3})

Right side: 1.0 (g i l l) = 1.420653125 \times 10^{- 4} (c u b i c m e t e r) = 1.420653125 \times 10^{- 4} (m^{3})

Insert known values into the conversion equation to determine

x

1.0 (g o (合)) = x (g i l l)

Insert known values =>

1.0 \times \frac{2401.0}{1.331 \times 10^{7}} \times (c u b i c m e t e r) = x \times 1.420653125 \times 10^{- 4} \times (c u b i c m e t e r)

Or

1.0 \cdot \frac{2401.0}{1.331 \times 10^{7}} \cdot (m^{3}) = x \cdot 1.420653125 \times 10^{- 4} \cdot (m^{3})

Cancel SI units

1.0 \times \frac{2401.0}{1.331 \times 10^{7}} \cdot (m^{3}) = x \times 1.420653125 \times 10^{- 4} \times (m^{3})

Conversion Equation

\frac{2401.0}{1.331 \times 10^{7}} = x \times 1.420653125 \times 10^{- 4}

Switch sides

x \times 1.420653125 \times 10^{- 4} = \frac{2401.0}{1.331 \times 10^{7}}

Isolate

x

Multiply both sides by

(\frac{1.0}{1.420653125 \times 10^{- 4}})

x \times 1.420653125 \times 10^{- 4} \times \frac{1.0}{1.420653125 \times 10^{- 4}} = \frac{2401.0}{1.331 \times 10^{7}} \times \frac{1.0}{1.420653125 \times 10^{- 4}}

Cancel

x \times 1.420653125 \times 10^{- 4} \times \frac{1.0}{1.420653125 \times 10^{- 4}} = \frac{2401.0 \times 1.0}{1.331 \times {10^{7}}^{10^{3}} \times 1.420653125 \times 10^{- 4}}

Simplify

x = \frac{2401.0}{1.331 \times 10^{3} \times 1.420653125}

Rewrite equation

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

Rewrite

x = \frac{10^{- 3} \times 2401.0}{1.331 \times 1.420653125}

Solve

x

x \approx 1.269772899 \approx 1.2698

Conversion Equation

1.0 (g o (合)) \approx 1.2698 (g i l l)

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