# Convert cubic mile / minute to gill / hour

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

## Calculation Breakdown

Set up the equation
$$1.0\left(\dfrac{cubic \text{ } mile}{minute}\right)={\color{rgb(20,165,174)} x}\left(\dfrac{gill}{hour}\right)$$
Define the base values of the selected units in relation to the SI unit $$\left(\dfrac{cubic \text{ } meter}{second}\right)$$
$$\text{Left side: 1.0 } \left(\dfrac{cubic \text{ } mile}{minute}\right) = {\color{rgb(89,182,91)} \dfrac{4168181825.44058}{60.0}\left(\dfrac{cubic \text{ } meter}{second}\right)} = {\color{rgb(89,182,91)} \dfrac{4168181825.44058}{60.0}\left(\dfrac{m^{3}}{s}\right)}$$
$$\text{Right side: 1.0 } \left(\dfrac{gill}{hour}\right) = {\color{rgb(125,164,120)} \dfrac{1.1829411825 \times 10^{-4}}{3.6 \times 10^{3}}\left(\dfrac{cubic \text{ } meter}{second}\right)} = {\color{rgb(125,164,120)} \dfrac{1.1829411825 \times 10^{-4}}{3.6 \times 10^{3}}\left(\dfrac{m^{3}}{s}\right)}$$
Insert known values into the conversion equation to determine $${\color{rgb(20,165,174)} x}$$
$$1.0\left(\dfrac{cubic \text{ } mile}{minute}\right)={\color{rgb(20,165,174)} x}\left(\dfrac{gill}{hour}\right)$$
$$\text{Insert known values } =>$$
$$1.0 \times {\color{rgb(89,182,91)} \dfrac{4168181825.44058}{60.0}} \times {\color{rgb(89,182,91)} \left(\dfrac{cubic \text{ } meter}{second}\right)} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} \dfrac{1.1829411825 \times 10^{-4}}{3.6 \times 10^{3}}}} \times {\color{rgb(125,164,120)} \left(\dfrac{cubic \text{ } meter}{second}\right)}$$
$$\text{Or}$$
$$1.0 \cdot {\color{rgb(89,182,91)} \dfrac{4168181825.44058}{60.0}} \cdot {\color{rgb(89,182,91)} \left(\dfrac{m^{3}}{s}\right)} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} \dfrac{1.1829411825 \times 10^{-4}}{3.6 \times 10^{3}}} \cdot {\color{rgb(125,164,120)} \left(\dfrac{m^{3}}{s}\right)}$$
$$\text{Cancel SI units}$$
$$1.0 \times {\color{rgb(89,182,91)} \dfrac{4168181825.44058}{60.0}} \cdot {\color{rgb(89,182,91)} \cancel{\left(\dfrac{m^{3}}{s}\right)}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} \dfrac{1.1829411825 \times 10^{-4}}{3.6 \times 10^{3}}} \times {\color{rgb(125,164,120)} \cancel{\left(\dfrac{m^{3}}{s}\right)}}$$
$$\text{Conversion Equation}$$
$$\dfrac{4168181825.44058}{60.0} = {\color{rgb(20,165,174)} x} \times \dfrac{1.1829411825 \times 10^{-4}}{3.6 \times 10^{3}}$$
Switch sides
$${\color{rgb(20,165,174)} x} \times \dfrac{1.1829411825 \times 10^{-4}}{3.6 \times 10^{3}} = \dfrac{4168181825.44058}{60.0}$$
Isolate $${\color{rgb(20,165,174)} x}$$
Multiply both sides by $$\left(\dfrac{3.6 \times 10^{3}}{1.1829411825 \times 10^{-4}}\right)$$
$${\color{rgb(20,165,174)} x} \times \dfrac{1.1829411825 \times 10^{-4}}{3.6 \times 10^{3}} \times \dfrac{3.6 \times 10^{3}}{1.1829411825 \times 10^{-4}} = \dfrac{4168181825.44058}{60.0} \times \dfrac{3.6 \times 10^{3}}{1.1829411825 \times 10^{-4}}$$
$$\text{Cancel}$$
$${\color{rgb(20,165,174)} x} \times \dfrac{{\color{rgb(255,204,153)} \cancel{1.1829411825}} \times {\color{rgb(99,194,222)} \cancel{10^{-4}}} \times {\color{rgb(166,218,227)} \cancel{3.6}} \times {\color{rgb(76,153,0)} \cancel{10^{3}}}}{{\color{rgb(166,218,227)} \cancel{3.6}} \times {\color{rgb(76,153,0)} \cancel{10^{3}}} \times {\color{rgb(255,204,153)} \cancel{1.1829411825}} \times {\color{rgb(99,194,222)} \cancel{10^{-4}}}} = \dfrac{4168181825.44058 \times 3.6 \times 10^{3}}{60.0 \times 1.1829411825 \times 10^{-4}}$$
$$\text{Simplify}$$
$${\color{rgb(20,165,174)} x} = \dfrac{4168181825.44058 \times 3.6 \times 10^{3}}{60.0 \times 1.1829411825 \times 10^{-4}}$$
Rewrite equation
$$\dfrac{1.0}{10^{-4}}\text{ can be rewritten to }10^{4}$$
$$\text{Rewrite}$$
$${\color{rgb(20,165,174)} x} = \dfrac{10^{4} \times 4168181825.44058 \times 3.6 \times 10^{3}}{60.0 \times 1.1829411825}$$
$$\text{Simplify}$$
$${\color{rgb(20,165,174)} x} = \dfrac{10^{7} \times 4168181825.44058 \times 3.6}{60.0 \times 1.1829411825}$$
Solve $${\color{rgb(20,165,174)} x}$$
$${\color{rgb(20,165,174)} x}\approx2.1141449231 \times 10^{15}\approx2.1141 \times 10^{15}$$
$$\text{Conversion Equation}$$
$$1.0\left(\dfrac{cubic \text{ } mile}{minute}\right)\approx{\color{rgb(20,165,174)} 2.1141 \times 10^{15}}\left(\dfrac{gill}{hour}\right)$$