Convert cup to peck

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

Calculation Breakdown

Set up the equation

1.0 (c u p) = 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 (c u p) = 2.5 \times 10^{- 4} (c u b i c m e t e r) = 2.5 \times 10^{- 4} (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 (c u p) = x (p e c k)

Insert known values =>

1.0 \times 2.5 \times 10^{- 4} \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 2.5 \times 10^{- 4} \cdot (m^{3}) = x \cdot 9.09218 \times 10^{- 3} \cdot (m^{3})

Cancel SI units

1.0 \times 2.5 \times 10^{- 4} \cdot (m^{3}) = x \times 9.09218 \times 10^{- 3} \times (m^{3})

Conversion Equation

2.5 \times 10^{- 4} = x \times 9.09218 \times 10^{- 3}

Cancel factors on both sides

Cancel factors

2.5 \times {10^{- 4}}^{10^{- 1}} = x \times 9.09218 \times 10^{- 3}

Simplify

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

Switch sides

x \times 9.09218 = 2.5 \times 10^{- 1}

Isolate

x

Multiply both sides by

(\frac{1.0}{9.09218})

x \times 9.09218 \times \frac{1.0}{9.09218} = 2.5 \times 10^{- 1} \times \frac{1.0}{9.09218}

Cancel

x \times 9.09218 \times \frac{1.0}{9.09218} = 2.5 \times 10^{- 1} \times \frac{1.0}{9.09218}

Simplify

x = \frac{2.5 \times 10^{- 1}}{9.09218}

Solve

x

x \approx 0.027496156 \approx 2.7496 \times 10^{- 2}

Conversion Equation

1.0 (c u p) \approx 2.7496 \times 10^{- 2} (p e c k)

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