Convert kilderkin to barrel

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

Calculation Breakdown

Set up the equation

1.0 (k i l d e 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 (k i l d e r k i n) = 8.182962 \times 10^{- 2} (c u b i c m e t e r) = 8.182962 \times 10^{- 2} (m^{3})

Right side: 1.0 (b a r r e l) = 0.115628198985075 (c u b i c m e t e r) = 0.115628198985075 (m^{3})

Insert known values into the conversion equation to determine

x

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

Insert known values =>

1.0 \times 8.182962 \times 10^{- 2} \times (c u b i c m e t e r) = x \times 0.115628198985075 \times (c u b i c m e t e r)

Or

1.0 \cdot 8.182962 \times 10^{- 2} \cdot (m^{3}) = x \cdot 0.115628198985075 \cdot (m^{3})

Cancel SI units

1.0 \times 8.182962 \times 10^{- 2} \cdot (m^{3}) = x \times 0.115628198985075 \times (m^{3})

Conversion Equation

8.182962 \times 10^{- 2} = x \times 0.115628198985075

Switch sides

x \times 0.115628198985075 = 8.182962 \times 10^{- 2}

Isolate

x

Multiply both sides by

(\frac{1.0}{0.115628198985075})

x \times 0.115628198985075 \times \frac{1.0}{0.115628198985075} = 8.182962 \times 10^{- 2} \times \frac{1.0}{0.115628198985075}

Cancel

x \times 0.115628198985075 \times \frac{1.0}{0.115628198985075} = 8.182962 \times 10^{- 2} \times \frac{1.0}{0.115628198985075}

Simplify

x = \frac{8.182962 \times 10^{- 2}}{0.115628198985075}

Solve

x

x \approx 0.7076960527 \approx 7.077 \times 10^{- 1}

Conversion Equation

1.0 (k i l d e r k i n) \approx 7.077 \times 10^{- 1} (b a r r e l)

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