Convert gallon / second to cubic foot / second

Learn how to convert 1 gallon / second to cubic foot / second step by step.

Calculation Breakdown

Set up the equation

1.0 (\frac{g a l l o n}{s e c o n d}) = x (\frac{c u b i c f o o t}{s e c o n d})

Define the base values of the selected units in relation to the SI unit

(\frac{c u b i c m e t e r}{s e c o n d})

Left side: 1.0 (\frac{g a l l o n}{s e c o n d}) = 4.54609 \times 10^{- 3} (\frac{c u b i c m e t e r}{s e c o n d}) = 4.54609 \times 10^{- 3} (\frac{m^{3}}{s})

Right side: 1.0 (\frac{c u b i c f o o t}{s e c o n d}) = 2.8316846592 \times 10^{- 2} (\frac{c u b i c m e t e r}{s e c o n d}) = 2.8316846592 \times 10^{- 2} (\frac{m^{3}}{s})

Insert known values into the conversion equation to determine

x

1.0 (\frac{g a l l o n}{s e c o n d}) = x (\frac{c u b i c f o o t}{s e c o n d})

Insert known values =>

1.0 \times 4.54609 \times 10^{- 3} \times (\frac{c u b i c m e t e r}{s e c o n d}) = x \times 2.8316846592 \times 10^{- 2} \times (\frac{c u b i c m e t e r}{s e c o n d})

Or

1.0 \cdot 4.54609 \times 10^{- 3} \cdot (\frac{m^{3}}{s}) = x \cdot 2.8316846592 \times 10^{- 2} \cdot (\frac{m^{3}}{s})

Cancel SI units

1.0 \times 4.54609 \times 10^{- 3} \cdot (\frac{m^{3}}{s}) = x \times 2.8316846592 \times 10^{- 2} \times (\frac{m^{3}}{s})

Conversion Equation

4.54609 \times 10^{- 3} = x \times 2.8316846592 \times 10^{- 2}

Cancel factors on both sides

Cancel factors

4.54609 \times {10^{- 3}}^{10^{- 1}} = x \times 2.8316846592 \times 10^{- 2}

Simplify

4.54609 \times 10^{- 1} = x \times 2.8316846592

Switch sides

x \times 2.8316846592 = 4.54609 \times 10^{- 1}

Isolate

x

Multiply both sides by

(\frac{1.0}{2.8316846592})

x \times 2.8316846592 \times \frac{1.0}{2.8316846592} = 4.54609 \times 10^{- 1} \times \frac{1.0}{2.8316846592}

Cancel

x \times 2.8316846592 \times \frac{1.0}{2.8316846592} = 4.54609 \times 10^{- 1} \times \frac{1.0}{2.8316846592}

Simplify

x = \frac{4.54609 \times 10^{- 1}}{2.8316846592}

Solve

x

x \approx 0.1605436532 \approx 1.6054 \times 10^{- 1}

Conversion Equation

1.0 (\frac{g a l l o n}{s e c o n d}) \approx 1.6054 \times 10^{- 1} (\frac{c u b i c f o o t}{s e c o n d})

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