Convert cubic yard / second to gallon / second

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

Calculation Breakdown

Set up the equation
$$1.0\left(\dfrac{cubic \text{ } yard}{second}\right)={\color{rgb(20,165,174)} x}\left(\dfrac{gallon}{second}\right)$$
Define the base values of the selected units in relation to the SI unit $$\left(\dfrac{cubic \text{ } meter}{second}\right)$$
$$\text{Left side: 1.0 } \left(\dfrac{cubic \text{ } yard}{second}\right) = {\color{rgb(89,182,91)} 0.764554857984\left(\dfrac{cubic \text{ } meter}{second}\right)} = {\color{rgb(89,182,91)} 0.764554857984\left(\dfrac{m^{3}}{s}\right)}$$
$$\text{Right side: 1.0 } \left(\dfrac{gallon}{second}\right) = {\color{rgb(125,164,120)} 4.40488377086 \times 10^{-3}\left(\dfrac{cubic \text{ } meter}{second}\right)} = {\color{rgb(125,164,120)} 4.40488377086 \times 10^{-3}\left(\dfrac{m^{3}}{s}\right)}$$
Insert known values into the conversion equation to determine $${\color{rgb(20,165,174)} x}$$
$$1.0\left(\dfrac{cubic \text{ } yard}{second}\right)={\color{rgb(20,165,174)} x}\left(\dfrac{gallon}{second}\right)$$
$$\text{Insert known values } =>$$
$$1.0 \times {\color{rgb(89,182,91)} 0.764554857984} \times {\color{rgb(89,182,91)} \left(\dfrac{cubic \text{ } meter}{second}\right)} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} 4.40488377086 \times 10^{-3}}} \times {\color{rgb(125,164,120)} \left(\dfrac{cubic \text{ } meter}{second}\right)}$$
$$\text{Or}$$
$$1.0 \cdot {\color{rgb(89,182,91)} 0.764554857984} \cdot {\color{rgb(89,182,91)} \left(\dfrac{m^{3}}{s}\right)} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} 4.40488377086 \times 10^{-3}} \cdot {\color{rgb(125,164,120)} \left(\dfrac{m^{3}}{s}\right)}$$
$$\text{Cancel SI units}$$
$$1.0 \times {\color{rgb(89,182,91)} 0.764554857984} \cdot {\color{rgb(89,182,91)} \cancel{\left(\dfrac{m^{3}}{s}\right)}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} 4.40488377086 \times 10^{-3}} \times {\color{rgb(125,164,120)} \cancel{\left(\dfrac{m^{3}}{s}\right)}}$$
$$\text{Conversion Equation}$$
$$0.764554857984 = {\color{rgb(20,165,174)} x} \times 4.40488377086 \times 10^{-3}$$
Switch sides
$${\color{rgb(20,165,174)} x} \times 4.40488377086 \times 10^{-3} = 0.764554857984$$
Isolate $${\color{rgb(20,165,174)} x}$$
Multiply both sides by $$\left(\dfrac{1.0}{4.40488377086 \times 10^{-3}}\right)$$
$${\color{rgb(20,165,174)} x} \times 4.40488377086 \times 10^{-3} \times \dfrac{1.0}{4.40488377086 \times 10^{-3}} = 0.764554857984 \times \dfrac{1.0}{4.40488377086 \times 10^{-3}}$$
$$\text{Cancel}$$
$${\color{rgb(20,165,174)} x} \times {\color{rgb(255,204,153)} \cancel{4.40488377086}} \times {\color{rgb(99,194,222)} \cancel{10^{-3}}} \times \dfrac{1.0}{{\color{rgb(255,204,153)} \cancel{4.40488377086}} \times {\color{rgb(99,194,222)} \cancel{10^{-3}}}} = 0.764554857984 \times \dfrac{1.0}{4.40488377086 \times 10^{-3}}$$
$$\text{Simplify}$$
$${\color{rgb(20,165,174)} x} = \dfrac{0.764554857984}{4.40488377086 \times 10^{-3}}$$
Rewrite equation
$$\dfrac{1.0}{10^{-3}}\text{ can be rewritten to }10^{3}$$
$$\text{Rewrite}$$
$${\color{rgb(20,165,174)} x} = \dfrac{10^{3} \times 0.764554857984}{4.40488377086}$$
Solve $${\color{rgb(20,165,174)} x}$$
$${\color{rgb(20,165,174)} x}\approx173.56981427\approx1.7357 \times 10^{2}$$
$$\text{Conversion Equation}$$
$$1.0\left(\dfrac{cubic \text{ } yard}{second}\right)\approx{\color{rgb(20,165,174)} 1.7357 \times 10^{2}}\left(\dfrac{gallon}{second}\right)$$