Convert kilderkin to sack

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

Calculation Breakdown

Set up the equation

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

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 (s a c k) = 1.0910616 \times 10^{- 1} (c u b i c m e t e r) = 1.0910616 \times 10^{- 1} (m^{3})

Insert known values into the conversion equation to determine

x

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

Insert known values =>

1.0 \times 8.182962 \times 10^{- 2} \times (c u b i c m e t e r) = x \times 1.0910616 \times 10^{- 1} \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 1.0910616 \times 10^{- 1} \cdot (m^{3})

Cancel SI units

1.0 \times 8.182962 \times 10^{- 2} \cdot (m^{3}) = x \times 1.0910616 \times 10^{- 1} \times (m^{3})

Conversion Equation

8.182962 \times 10^{- 2} = x \times 1.0910616 \times 10^{- 1}

Cancel factors on both sides

Cancel factors

8.182962 \times {10^{- 2}}^{10^{- 1}} = x \times 1.0910616 \times 10^{- 1}

Simplify

8.182962 \times 10^{- 1} = x \times 1.0910616

Switch sides

x \times 1.0910616 = 8.182962 \times 10^{- 1}

Isolate

x

Multiply both sides by

(\frac{1.0}{1.0910616})

x \times 1.0910616 \times \frac{1.0}{1.0910616} = 8.182962 \times 10^{- 1} \times \frac{1.0}{1.0910616}

Cancel

x \times 1.0910616 \times \frac{1.0}{1.0910616} = 8.182962 \times 10^{- 1} \times \frac{1.0}{1.0910616}

Simplify

x = \frac{8.182962 \times 10^{- 1}}{1.0910616}

Solve

x

x = 0.75 = 7.5 \times 10^{- 1}

Conversion Equation

1.0 (k i l d e r k i n) = 7.5 \times 10^{- 1} (s a c k)

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