Convert liter / minute to cubic yard / minute
Learn how to convert
1
liter / minute to
cubic yard / minute
step by step.
Calculation Breakdown
Set up the equation
\(1.0\left(\dfrac{liter}{minute}\right)={\color{rgb(20,165,174)} x}\left(\dfrac{cubic \text{ } yard}{minute}\right)\)
Define the base values of the selected units in relation to the SI unit \(\left(\dfrac{cubic \text{ } meter}{second}\right)\)
\(\text{Left side: 1.0 } \left(\dfrac{liter}{minute}\right) = {\color{rgb(89,182,91)} \dfrac{10^{-3}}{60.0}\left(\dfrac{cubic \text{ } meter}{second}\right)} = {\color{rgb(89,182,91)} \dfrac{10^{-3}}{60.0}\left(\dfrac{m^{3}}{s}\right)}\)
\(\text{Right side: 1.0 } \left(\dfrac{cubic \text{ } yard}{minute}\right) = {\color{rgb(125,164,120)} \dfrac{0.764554857984}{60.0}\left(\dfrac{cubic \text{ } meter}{second}\right)} = {\color{rgb(125,164,120)} \dfrac{0.764554857984}{60.0}\left(\dfrac{m^{3}}{s}\right)}\)
Insert known values into the conversion equation to determine \({\color{rgb(20,165,174)} x}\)
\(1.0\left(\dfrac{liter}{minute}\right)={\color{rgb(20,165,174)} x}\left(\dfrac{cubic \text{ } yard}{minute}\right)\)
\(\text{Insert known values } =>\)
\(1.0 \times {\color{rgb(89,182,91)} \dfrac{10^{-3}}{60.0}} \times {\color{rgb(89,182,91)} \left(\dfrac{cubic \text{ } meter}{second}\right)} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} \dfrac{0.764554857984}{60.0}}} \times {\color{rgb(125,164,120)} \left(\dfrac{cubic \text{ } meter}{second}\right)}\)
\(\text{Or}\)
\(1.0 \cdot {\color{rgb(89,182,91)} \dfrac{10^{-3}}{60.0}} \cdot {\color{rgb(89,182,91)} \left(\dfrac{m^{3}}{s}\right)} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} \dfrac{0.764554857984}{60.0}} \cdot {\color{rgb(125,164,120)} \left(\dfrac{m^{3}}{s}\right)}\)
\(\text{Cancel SI units}\)
\(1.0 \times {\color{rgb(89,182,91)} \dfrac{10^{-3}}{60.0}} \cdot {\color{rgb(89,182,91)} \cancel{\left(\dfrac{m^{3}}{s}\right)}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} \dfrac{0.764554857984}{60.0}} \times {\color{rgb(125,164,120)} \cancel{\left(\dfrac{m^{3}}{s}\right)}}\)
\(\text{Conversion Equation}\)
\(\dfrac{10^{-3}}{60.0} = {\color{rgb(20,165,174)} x} \times \dfrac{0.764554857984}{60.0}\)
Cancel factors on both sides
\(\text{Cancel factors}\)
\(\dfrac{10^{-3}}{{\color{rgb(255,204,153)} \cancel{60.0}}} = {\color{rgb(20,165,174)} x} \times \dfrac{0.764554857984}{{\color{rgb(255,204,153)} \cancel{60.0}}}\)
\(\text{Simplify}\)
\(10^{-3} = {\color{rgb(20,165,174)} x} \times 0.764554857984\)
Switch sides
\({\color{rgb(20,165,174)} x} \times 0.764554857984 = 10^{-3}\)
Isolate \({\color{rgb(20,165,174)} x}\)
Multiply both sides by \(\left(\dfrac{1.0}{0.764554857984}\right)\)
\({\color{rgb(20,165,174)} x} \times 0.764554857984 \times \dfrac{1.0}{0.764554857984} = 10^{-3} \times \dfrac{1.0}{0.764554857984}\)
\(\text{Cancel}\)
\({\color{rgb(20,165,174)} x} \times {\color{rgb(255,204,153)} \cancel{0.764554857984}} \times \dfrac{1.0}{{\color{rgb(255,204,153)} \cancel{0.764554857984}}} = 10^{-3} \times \dfrac{1.0}{0.764554857984}\)
\(\text{Simplify}\)
\({\color{rgb(20,165,174)} x} = \dfrac{10^{-3}}{0.764554857984}\)
Solve \({\color{rgb(20,165,174)} x}\)
\({\color{rgb(20,165,174)} x}\approx0.0013079506\approx1.308 \times 10^{-3}\)
\(\text{Conversion Equation}\)
\(1.0\left(\dfrac{liter}{minute}\right)\approx{\color{rgb(20,165,174)} 1.308 \times 10^{-3}}\left(\dfrac{cubic \text{ } yard}{minute}\right)\)
