Convert go(合) to firkin

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

Calculation Breakdown

Set up the equation

1.0 (g o (合)) = x (f i r k i n)

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 (f i r k i n) = 3.4068706056 \times 10^{- 2} (c u b i c m e t e r) = 3.4068706056 \times 10^{- 2} (m^{3})

Insert known values into the conversion equation to determine

x

1.0 (g o (合)) = x (f i r k i n)

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 3.4068706056 \times 10^{- 2} \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 3.4068706056 \times 10^{- 2} \cdot (m^{3})

Cancel SI units

1.0 \times \frac{2401.0}{1.331 \times 10^{7}} \cdot (m^{3}) = x \times 3.4068706056 \times 10^{- 2} \times (m^{3})

Conversion Equation

\frac{2401.0}{1.331 \times 10^{7}} = x \times 3.4068706056 \times 10^{- 2}

Switch sides

x \times 3.4068706056 \times 10^{- 2} = \frac{2401.0}{1.331 \times 10^{7}}

Isolate

x

Multiply both sides by

(\frac{1.0}{3.4068706056 \times 10^{- 2}})

x \times 3.4068706056 \times 10^{- 2} \times \frac{1.0}{3.4068706056 \times 10^{- 2}} = \frac{2401.0}{1.331 \times 10^{7}} \times \frac{1.0}{3.4068706056 \times 10^{- 2}}

Cancel

x \times 3.4068706056 \times 10^{- 2} \times \frac{1.0}{3.4068706056 \times 10^{- 2}} = \frac{2401.0 \times 1.0}{1.331 \times {10^{7}}^{10^{5}} \times 3.4068706056 \times 10^{- 2}}

Simplify

x = \frac{2401.0}{1.331 \times 10^{5} \times 3.4068706056}

Rewrite equation

\frac{1.0}{10^{5}} can be rewritten to 10^{- 5}

Rewrite

x = \frac{10^{- 5} \times 2401.0}{1.331 \times 3.4068706056}

Solve

x

x \approx 0.0052949086 \approx 5.2949 \times 10^{- 3}

Conversion Equation

1.0 (g o (合)) \approx 5.2949 \times 10^{- 3} (f i r k i n)

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