Convert cubic meter / hour to gill / hour

Learn how to convert 1 cubic meter / hour to gill / hour step by step.

Calculation Breakdown

Set up the equation

1.0 (\frac{c u b i c m e t e r}{h o u r}) = x (\frac{g i l l}{h o u r})

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}{h o u r}) = \frac{1.0}{3.6 \times 10^{3}} (\frac{c u b i c m e t e r}{s e c o n d}) = \frac{1.0}{3.6 \times 10^{3}} (\frac{m^{3}}{s})

Right side: 1.0 (\frac{g i l l}{h o u r}) = \frac{1.420653125 \times 10^{- 4}}{3.6 \times 10^{3}} (\frac{c u b i c m e t e r}{s e c o n d}) = \frac{1.420653125 \times 10^{- 4}}{3.6 \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 m e t e r}{h o u r}) = x (\frac{g i l l}{h o u r})

Insert known values =>

1.0 \times \frac{1.0}{3.6 \times 10^{3}} \times (\frac{c u b i c m e t e r}{s e c o n d}) = x \times \frac{1.420653125 \times 10^{- 4}}{3.6 \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 \frac{1.0}{3.6 \times 10^{3}} \cdot (\frac{m^{3}}{s}) = x \cdot \frac{1.420653125 \times 10^{- 4}}{3.6 \times 10^{3}} \cdot (\frac{m^{3}}{s})

Cancel SI units

1.0 \times \frac{1.0}{3.6 \times 10^{3}} \cdot (\frac{m^{3}}{s}) = x \times \frac{1.420653125 \times 10^{- 4}}{3.6 \times 10^{3}} \times (\frac{m^{3}}{s})

Conversion Equation

\frac{1.0}{3.6 \times 10^{3}} = x \times \frac{1.420653125 \times 10^{- 4}}{3.6 \times 10^{3}}

Cancel factors on both sides

Cancel factors

\frac{1.0}{3.6 \times 10^{3}} = x \times \frac{1.420653125 \times 10^{- 4}}{3.6 \times 10^{3}}

Simplify

1.0 = x \times 1.420653125 \times 10^{- 4}

Switch sides

x \times 1.420653125 \times 10^{- 4} = 1.0

Isolate

x

Multiply both sides by

(\frac{1.0}{1.420653125 \times 10^{- 4}})

x \times 1.420653125 \times 10^{- 4} \times \frac{1.0}{1.420653125 \times 10^{- 4}} = \times \frac{1.0}{1.420653125 \times 10^{- 4}}

Cancel

x \times 1.420653125 \times 10^{- 4} \times \frac{1.0}{1.420653125 \times 10^{- 4}} = \frac{1.0}{1.420653125 \times 10^{- 4}}

Simplify

x = \frac{1.0}{1.420653125 \times 10^{- 4}}

Rewrite equation

\frac{1.0}{10^{- 4}} can be rewritten to 10^{4}

Rewrite

x = \frac{10^{4}}{1.420653125}

Solve

x

x \approx 7039.0159456 \approx 7.039 \times 10^{3}

Conversion Equation

1.0 (\frac{c u b i c m e t e r}{h o u r}) \approx 7.039 \times 10^{3} (\frac{g i l l}{h o u r})

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