Convert cubic foot / second to cubic inch / second

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

Calculation Breakdown

Set up the equation

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

Right side: 1.0 (\frac{c u b i c i n c h}{s e c o n d}) = 1.6387064 \times 10^{- 5} (\frac{c u b i c m e t e r}{s e c o n d}) = 1.6387064 \times 10^{- 5} (\frac{m^{3}}{s})

Insert known values into the conversion equation to determine

x

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

Insert known values =>

1.0 \times 2.8316846592 \times 10^{- 2} \times (\frac{c u b i c m e t e r}{s e c o n d}) = x \times 1.6387064 \times 10^{- 5} \times (\frac{c u b i c m e t e r}{s e c o n d})

Or

1.0 \cdot 2.8316846592 \times 10^{- 2} \cdot (\frac{m^{3}}{s}) = x \cdot 1.6387064 \times 10^{- 5} \cdot (\frac{m^{3}}{s})

Cancel SI units

1.0 \times 2.8316846592 \times 10^{- 2} \cdot (\frac{m^{3}}{s}) = x \times 1.6387064 \times 10^{- 5} \times (\frac{m^{3}}{s})

Conversion Equation

2.8316846592 \times 10^{- 2} = x \times 1.6387064 \times 10^{- 5}

Cancel factors on both sides

Cancel factors

2.8316846592 \times 10^{- 2} = x \times 1.6387064 \times {10^{- 5}}^{10^{- 3}}

Simplify

2.8316846592 = x \times 1.6387064 \times 10^{- 3}

Switch sides

x \times 1.6387064 \times 10^{- 3} = 2.8316846592

Isolate

x

Multiply both sides by

(\frac{1.0}{1.6387064 \times 10^{- 3}})

x \times 1.6387064 \times 10^{- 3} \times \frac{1.0}{1.6387064 \times 10^{- 3}} = 2.8316846592 \times \frac{1.0}{1.6387064 \times 10^{- 3}}

Cancel

x \times 1.6387064 \times 10^{- 3} \times \frac{1.0}{1.6387064 \times 10^{- 3}} = 2.8316846592 \times \frac{1.0}{1.6387064 \times 10^{- 3}}

Simplify

x = \frac{2.8316846592}{1.6387064 \times 10^{- 3}}

Rewrite equation

\frac{1.0}{10^{- 3}} can be rewritten to 10^{3}

Rewrite

x = \frac{10^{3} \times 2.8316846592}{1.6387064}

Solve

x

x = 1728 = 1.728 \times 10^{3}

Conversion Equation

1.0 (\frac{c u b i c f o o t}{s e c o n d}) = 1.728 \times 10^{3} (\frac{c u b i c i n c h}{s e c o n d})

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