Convert fifth to firkin

Learn how to convert 1 fifth to firkin step by step.

Calculation Breakdown

Set up the equation

1.0 (f i f t h) = 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 (f i f t h) = 7.570823568 \times 10^{- 4} (c u b i c m e t e r) = 7.570823568 \times 10^{- 4} (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 (f i f t h) = x (f i r k i n)

Insert known values =>

1.0 \times 7.570823568 \times 10^{- 4} \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 7.570823568 \times 10^{- 4} \cdot (m^{3}) = x \cdot 3.4068706056 \times 10^{- 2} \cdot (m^{3})

Cancel SI units

1.0 \times 7.570823568 \times 10^{- 4} \cdot (m^{3}) = x \times 3.4068706056 \times 10^{- 2} \times (m^{3})

Conversion Equation

7.570823568 \times 10^{- 4} = x \times 3.4068706056 \times 10^{- 2}

Cancel factors on both sides

Cancel factors

7.570823568 \times {10^{- 4}}^{10^{- 2}} = x \times 3.4068706056 \times 10^{- 2}

Simplify

7.570823568 \times 10^{- 2} = x \times 3.4068706056

Switch sides

x \times 3.4068706056 = 7.570823568 \times 10^{- 2}

Isolate

x

Multiply both sides by

(\frac{1.0}{3.4068706056})

x \times 3.4068706056 \times \frac{1.0}{3.4068706056} = 7.570823568 \times 10^{- 2} \times \frac{1.0}{3.4068706056}

Cancel

x \times 3.4068706056 \times \frac{1.0}{3.4068706056} = 7.570823568 \times 10^{- 2} \times \frac{1.0}{3.4068706056}

Simplify

x = \frac{7.570823568 \times 10^{- 2}}{3.4068706056}

Solve

x

x \approx 0.0222222222 \approx 2.2222 \times 10^{- 2}

Conversion Equation

1.0 (f i f t h) \approx 2.2222 \times 10^{- 2} (f i r k i n)

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