Convert firkin to barrel

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

Calculation Breakdown

Set up the equation

1.0 (f i r k i n) = x (b a r r e 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 (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})

Right side: 1.0 (b a r r e l) = 0.16365924 (c u b i c m e t e r) = 0.16365924 (m^{3})

Insert known values into the conversion equation to determine

x

1.0 (f i r k i n) = x (b a r r e l)

Insert known values =>

1.0 \times 3.4068706056 \times 10^{- 2} \times (c u b i c m e t e r) = x \times 0.16365924 \times (c u b i c m e t e r)

Or

1.0 \cdot 3.4068706056 \times 10^{- 2} \cdot (m^{3}) = x \cdot 0.16365924 \cdot (m^{3})

Cancel SI units

1.0 \times 3.4068706056 \times 10^{- 2} \cdot (m^{3}) = x \times 0.16365924 \times (m^{3})

Conversion Equation

3.4068706056 \times 10^{- 2} = x \times 0.16365924

Switch sides

x \times 0.16365924 = 3.4068706056 \times 10^{- 2}

Isolate

x

Multiply both sides by

(\frac{1.0}{0.16365924})

x \times 0.16365924 \times \frac{1.0}{0.16365924} = 3.4068706056 \times 10^{- 2} \times \frac{1.0}{0.16365924}

Cancel

x \times 0.16365924 \times \frac{1.0}{0.16365924} = 3.4068706056 \times 10^{- 2} \times \frac{1.0}{0.16365924}

Simplify

x = \frac{3.4068706056 \times 10^{- 2}}{0.16365924}

Solve

x

x \approx 0.2081685462 \approx 2.0817 \times 10^{- 1}

Conversion Equation

1.0 (f i r k i n) \approx 2.0817 \times 10^{- 1} (b a r r e l)

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