Convert cup to hogshead

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

Calculation Breakdown

Set up the equation

1.0 (c u p) = x (h o g s h e a d)

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) = 2.365882365 \times 10^{- 4} (c u b i c m e t e r) = 2.365882365 \times 10^{- 4} (m^{3})

Right side: 1.0 (h o g s h e a d) = 2.38480942392 \times 10^{- 1} (c u b i c m e t e r) = 2.38480942392 \times 10^{- 1} (m^{3})

Insert known values into the conversion equation to determine

x

1.0 (c u p) = x (h o g s h e a d)

Insert known values =>

1.0 \times 2.365882365 \times 10^{- 4} \times (c u b i c m e t e r) = x \times 2.38480942392 \times 10^{- 1} \times (c u b i c m e t e r)

Or

1.0 \cdot 2.365882365 \times 10^{- 4} \cdot (m^{3}) = x \cdot 2.38480942392 \times 10^{- 1} \cdot (m^{3})

Cancel SI units

1.0 \times 2.365882365 \times 10^{- 4} \cdot (m^{3}) = x \times 2.38480942392 \times 10^{- 1} \times (m^{3})

Conversion Equation

2.365882365 \times 10^{- 4} = x \times 2.38480942392 \times 10^{- 1}

Cancel factors on both sides

Cancel factors

2.365882365 \times {10^{- 4}}^{10^{- 3}} = x \times 2.38480942392 \times 10^{- 1}

Simplify

2.365882365 \times 10^{- 3} = x \times 2.38480942392

Switch sides

x \times 2.38480942392 = 2.365882365 \times 10^{- 3}

Isolate

x

Multiply both sides by

(\frac{1.0}{2.38480942392})

x \times 2.38480942392 \times \frac{1.0}{2.38480942392} = 2.365882365 \times 10^{- 3} \times \frac{1.0}{2.38480942392}

Cancel

x \times 2.38480942392 \times \frac{1.0}{2.38480942392} = 2.365882365 \times 10^{- 3} \times \frac{1.0}{2.38480942392}

Simplify

x = \frac{2.365882365 \times 10^{- 3}}{2.38480942392}

Solve

x

x \approx 0.0009920635 \approx 9.9206 \times 10^{- 4}

Conversion Equation

1.0 (c u p) \approx 9.9206 \times 10^{- 4} (h o g s h e a d)

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