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Water flows through a rectangular opening $$3\text{ m}\times2\text{ m}$$ with a speed of $$1.5\text{ km/hr}$$. The amount of water that passes through the opening in $$5$$ minutes is $$x^3$$. Then the value of $$x$$ is
Correct Answer: 9.085602964
The area of the opening is $$3\times2=6\text{ m}^2$$. The speed is $$1.5\text{ km/hr}=25\text{ m/min}$$, so in $$5$$ minutes the water travels $$125\text{ m}$$. Hence the volume is $$6\times125=750\text{ m}^3$$, so $$x^3=750$$ and $$x=\sqrt[3]{750}?pprox9.085602964$$.
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