Convert kilderkin to fifth

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

Calculation Breakdown

Set up the equation

1.0 (k i l d e r k i n) = x (f i f t h)

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 (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})

Insert known values into the conversion equation to determine

x

1.0 (k i l d e r k i n) = x (f i f t h)

Insert known values =>

1.0 \times 8.182962 \times 10^{- 2} \times (c u b i c m e t e r) = x \times 7.570823568 \times 10^{- 4} \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 7.570823568 \times 10^{- 4} \cdot (m^{3})

Cancel SI units

1.0 \times 8.182962 \times 10^{- 2} \cdot (m^{3}) = x \times 7.570823568 \times 10^{- 4} \times (m^{3})

Conversion Equation

8.182962 \times 10^{- 2} = x \times 7.570823568 \times 10^{- 4}

Cancel factors on both sides

Cancel factors

8.182962 \times 10^{- 2} = x \times 7.570823568 \times {10^{- 4}}^{10^{- 2}}

Simplify

8.182962 = x \times 7.570823568 \times 10^{- 2}

Switch sides

x \times 7.570823568 \times 10^{- 2} = 8.182962

Isolate

x

Multiply both sides by

(\frac{1.0}{7.570823568 \times 10^{- 2}})

x \times 7.570823568 \times 10^{- 2} \times \frac{1.0}{7.570823568 \times 10^{- 2}} = 8.182962 \times \frac{1.0}{7.570823568 \times 10^{- 2}}

Cancel

x \times 7.570823568 \times 10^{- 2} \times \frac{1.0}{7.570823568 \times 10^{- 2}} = 8.182962 \times \frac{1.0}{7.570823568 \times 10^{- 2}}

Simplify

x = \frac{8.182962}{7.570823568 \times 10^{- 2}}

Rewrite equation

\frac{1.0}{10^{- 2}} can be rewritten to 10^{2}

Rewrite

x = \frac{10^{2} \times 8.182962}{7.570823568}

Solve

x

x \approx 108.0854933 \approx 1.0809 \times 10^{2}

Conversion Equation

1.0 (k i l d e r k i n) \approx 1.0809 \times 10^{2} (f i f t h)

View All Examples