Convert cubic foot to cup

Learn how to convert 1 cubic foot to cup step by step.

Calculation Breakdown

Set up the equation

1.0 (c u b i c f o o t) = 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 (c u b i c f o o t) = 2.8316846592 \times 10^{- 2} (c u b i c m e t e r) = 2.8316846592 \times 10^{- 2} (m^{3})

Right 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})

Insert known values into the conversion equation to determine

x

1.0 (c u b i c f o o t) = x (c u p)

Insert known values =>

1.0 \times 2.8316846592 \times 10^{- 2} \times (c u b i c m e t e r) = x \times 2.365882365 \times 10^{- 4} \times (c u b i c m e t e r)

Or

1.0 \cdot 2.8316846592 \times 10^{- 2} \cdot (m^{3}) = x \cdot 2.365882365 \times 10^{- 4} \cdot (m^{3})

Cancel SI units

1.0 \times 2.8316846592 \times 10^{- 2} \cdot (m^{3}) = x \times 2.365882365 \times 10^{- 4} \times (m^{3})

Conversion Equation

2.8316846592 \times 10^{- 2} = x \times 2.365882365 \times 10^{- 4}

Cancel factors on both sides

Cancel factors

2.8316846592 \times 10^{- 2} = x \times 2.365882365 \times {10^{- 4}}^{10^{- 2}}

Simplify

2.8316846592 = x \times 2.365882365 \times 10^{- 2}

Switch sides

x \times 2.365882365 \times 10^{- 2} = 2.8316846592

Isolate

x

Multiply both sides by

(\frac{1.0}{2.365882365 \times 10^{- 2}})

x \times 2.365882365 \times 10^{- 2} \times \frac{1.0}{2.365882365 \times 10^{- 2}} = 2.8316846592 \times \frac{1.0}{2.365882365 \times 10^{- 2}}

Cancel

x \times 2.365882365 \times 10^{- 2} \times \frac{1.0}{2.365882365 \times 10^{- 2}} = 2.8316846592 \times \frac{1.0}{2.365882365 \times 10^{- 2}}

Simplify

x = \frac{2.8316846592}{2.365882365 \times 10^{- 2}}

Rewrite equation

\frac{1.0}{10^{- 2}} can be rewritten to 10^{2}

Rewrite

x = \frac{10^{2} \times 2.8316846592}{2.365882365}

Solve

x

x \approx 119.68831169 \approx 1.1969 \times 10^{2}

Conversion Equation

1.0 (c u b i c f o o t) \approx 1.1969 \times 10^{2} (c u p)

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