Convert cubic meter / second to cubic foot / second

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

Calculation Breakdown

Set up the equation

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

Cancel SI units

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

Conversion Equation

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

Simplify

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

Switch sides

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

Isolate

x

Multiply both sides by

(\frac{1.0}{2.8316846592 \times 10^{- 2}})

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

Cancel

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

Simplify

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

Rewrite equation

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

Rewrite

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

Solve

x

x \approx 35.314666721 \approx 35.3147

Conversion Equation

1.0 (\frac{c u b i c m e t e r}{s e c o n d}) \approx 35.3147 (\frac{c u b i c f o o t}{s e c o n d})

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