Convert barrel to pail

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

Calculation Breakdown

Set up the equation

1.0 (b a r r e l) = x (p a i 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 (b a r r e l) = 0.119240471196 (c u b i c m e t e r) = 0.119240471196 (m^{3})

Right side: 1.0 (p a i l) = 2.9094976 \times 10^{- 1} (c u b i c m e t e r) = 2.9094976 \times 10^{- 1} (m^{3})

Insert known values into the conversion equation to determine

x

1.0 (b a r r e l) = x (p a i l)

Insert known values =>

1.0 \times 0.119240471196 \times (c u b i c m e t e r) = x \times 2.9094976 \times 10^{- 1} \times (c u b i c m e t e r)

Or

1.0 \cdot 0.119240471196 \cdot (m^{3}) = x \cdot 2.9094976 \times 10^{- 1} \cdot (m^{3})

Cancel SI units

1.0 \times 0.119240471196 \cdot (m^{3}) = x \times 2.9094976 \times 10^{- 1} \times (m^{3})

Conversion Equation

0.119240471196 = x \times 2.9094976 \times 10^{- 1}

Switch sides

x \times 2.9094976 \times 10^{- 1} = 0.119240471196

Isolate

x

Multiply both sides by

(\frac{1.0}{2.9094976 \times 10^{- 1}})

x \times 2.9094976 \times 10^{- 1} \times \frac{1.0}{2.9094976 \times 10^{- 1}} = 0.119240471196 \times \frac{1.0}{2.9094976 \times 10^{- 1}}

Cancel

x \times 2.9094976 \times 10^{- 1} \times \frac{1.0}{2.9094976 \times 10^{- 1}} = 0.119240471196 \times \frac{1.0}{2.9094976 \times 10^{- 1}}

Simplify

x = \frac{0.119240471196}{2.9094976 \times 10^{- 1}}

Rewrite equation

\frac{1.0}{10^{- 1}} can be rewritten to 10

Rewrite

x = \frac{10.0 \times 0.119240471196}{2.9094976}

Solve

x

x \approx 0.4098318252 \approx 4.0983 \times 10^{- 1}

Conversion Equation

1.0 (b a r r e l) \approx 4.0983 \times 10^{- 1} (p a i l)

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