Convert barrel to cup

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

Calculation Breakdown

Set up the equation

1.0 (b a r r e l) = x (c u p)

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) = 0.115628198985075 (c u b i c m e t e r) = 0.115628198985075 (m^{3})

Right side: 1.0 (c u p) = 2.84130625 \times 10^{- 4} (c u b i c m e t e r) = 2.84130625 \times 10^{- 4} (m^{3})

Insert known values into the conversion equation to determine

x

1.0 (b a r r e l) = x (c u p)

Insert known values =>

1.0 \times 0.115628198985075 \times (c u b i c m e t e r) = x \times 2.84130625 \times 10^{- 4} \times (c u b i c m e t e r)

Or

1.0 \cdot 0.115628198985075 \cdot (m^{3}) = x \cdot 2.84130625 \times 10^{- 4} \cdot (m^{3})

Cancel SI units

1.0 \times 0.115628198985075 \cdot (m^{3}) = x \times 2.84130625 \times 10^{- 4} \times (m^{3})

Conversion Equation

0.115628198985075 = x \times 2.84130625 \times 10^{- 4}

Switch sides

x \times 2.84130625 \times 10^{- 4} = 0.115628198985075

Isolate

x

Multiply both sides by

(\frac{1.0}{2.84130625 \times 10^{- 4}})

x \times 2.84130625 \times 10^{- 4} \times \frac{1.0}{2.84130625 \times 10^{- 4}} = 0.115628198985075 \times \frac{1.0}{2.84130625 \times 10^{- 4}}

Cancel

x \times 2.84130625 \times 10^{- 4} \times \frac{1.0}{2.84130625 \times 10^{- 4}} = 0.115628198985075 \times \frac{1.0}{2.84130625 \times 10^{- 4}}

Simplify

x = \frac{0.115628198985075}{2.84130625 \times 10^{- 4}}

Rewrite equation

\frac{1.0}{10^{- 4}} can be rewritten to 10^{4}

Rewrite

x = \frac{10^{4} \times 0.115628198985075}{2.84130625}

Solve

x

x \approx 406.95436821 \approx 4.0695 \times 10^{2}

Conversion Equation

1.0 (b a r r e l) \approx 4.0695 \times 10^{2} (c u p)

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