Convert bucket to peck

Learn how to convert 1 bucket to peck step by step.

Calculation Breakdown

Set up the equation

1.0 (b u c k e t) = x (p e 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 (b u c k e t) = 1.818436 \times 10^{- 2} (c u b i c m e t e r) = 1.818436 \times 10^{- 2} (m^{3})

Right side: 1.0 (p e c k) = 9.09218 \times 10^{- 3} (c u b i c m e t e r) = 9.09218 \times 10^{- 3} (m^{3})

Insert known values into the conversion equation to determine

x

1.0 (b u c k e t) = x (p e c k)

Insert known values =>

1.0 \times 1.818436 \times 10^{- 2} \times (c u b i c m e t e r) = x \times 9.09218 \times 10^{- 3} \times (c u b i c m e t e r)

Or

1.0 \cdot 1.818436 \times 10^{- 2} \cdot (m^{3}) = x \cdot 9.09218 \times 10^{- 3} \cdot (m^{3})

Cancel SI units

1.0 \times 1.818436 \times 10^{- 2} \cdot (m^{3}) = x \times 9.09218 \times 10^{- 3} \times (m^{3})

Conversion Equation

1.818436 \times 10^{- 2} = x \times 9.09218 \times 10^{- 3}

Cancel factors on both sides

Cancel factors

1.818436 \times 10^{- 2} = x \times 9.09218 \times {10^{- 3}}^{10^{- 1}}

Simplify

1.818436 = x \times 9.09218 \times 10^{- 1}

Switch sides

x \times 9.09218 \times 10^{- 1} = 1.818436

Isolate

x

Multiply both sides by

(\frac{1.0}{9.09218 \times 10^{- 1}})

x \times 9.09218 \times 10^{- 1} \times \frac{1.0}{9.09218 \times 10^{- 1}} = 1.818436 \times \frac{1.0}{9.09218 \times 10^{- 1}}

Cancel

x \times 9.09218 \times 10^{- 1} \times \frac{1.0}{9.09218 \times 10^{- 1}} = 1.818436 \times \frac{1.0}{9.09218 \times 10^{- 1}}

Simplify

x = \frac{1.818436}{9.09218 \times 10^{- 1}}

Rewrite equation

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

Rewrite

x = \frac{10.0 \times 1.818436}{9.09218}

Solve

x

x = 2

Conversion Equation

1.0 (b u c k e t) = 2 (p e c k)

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