Convert cubic inch / second to gallon / second

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

Calculation Breakdown

Set up the equation

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

Right side: 1.0 (\frac{g a l l o n}{s e c o n d}) = 4.40488377086 \times 10^{- 3} (\frac{c u b i c m e t e r}{s e c o n d}) = 4.40488377086 \times 10^{- 3} (\frac{m^{3}}{s})

Insert known values into the conversion equation to determine

x

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

Insert known values =>

1.0 \times 1.6387064 \times 10^{- 5} \times (\frac{c u b i c m e t e r}{s e c o n d}) = x \times 4.40488377086 \times 10^{- 3} \times (\frac{c u b i c m e t e r}{s e c o n d})

Or

1.0 \cdot 1.6387064 \times 10^{- 5} \cdot (\frac{m^{3}}{s}) = x \cdot 4.40488377086 \times 10^{- 3} \cdot (\frac{m^{3}}{s})

Cancel SI units

1.0 \times 1.6387064 \times 10^{- 5} \cdot (\frac{m^{3}}{s}) = x \times 4.40488377086 \times 10^{- 3} \times (\frac{m^{3}}{s})

Conversion Equation

1.6387064 \times 10^{- 5} = x \times 4.40488377086 \times 10^{- 3}

Cancel factors on both sides

Cancel factors

1.6387064 \times {10^{- 5}}^{10^{- 2}} = x \times 4.40488377086 \times 10^{- 3}

Simplify

1.6387064 \times 10^{- 2} = x \times 4.40488377086

Switch sides

x \times 4.40488377086 = 1.6387064 \times 10^{- 2}

Isolate

x

Multiply both sides by

(\frac{1.0}{4.40488377086})

x \times 4.40488377086 \times \frac{1.0}{4.40488377086} = 1.6387064 \times 10^{- 2} \times \frac{1.0}{4.40488377086}

Cancel

x \times 4.40488377086 \times \frac{1.0}{4.40488377086} = 1.6387064 \times 10^{- 2} \times \frac{1.0}{4.40488377086}

Simplify

x = \frac{1.6387064 \times 10^{- 2}}{4.40488377086}

Solve

x

x \approx 0.0037202035 \approx 3.7202 \times 10^{- 3}

Conversion Equation

1.0 (\frac{c u b i c i n c h}{s e c o n d}) \approx 3.7202 \times 10^{- 3} (\frac{g a l l o n}{s e c o n d})

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