An empty swimming pool is to be filled to the top. The pool is shaped like a rectangular prism with length 16m, width 10m, and depth 5m. Suppose water is pumped into the pool at a rate of 40m3 per hour. How many hours does it take to fill the empty pool?

Respuesta :

Answer:

it will take 20hrs to fill the pool

Answer:

It would take 20 hours to fill the pool.

Step-by-step explanation:

We are give the Dimensions of the Pool. Recall that Volume of a Rectangular Prism is V = l*w*h which will return 800[tex]m^{3}[/tex]. Using Dimensional Analysis and recalling that the rate is being pumped at a rate of [tex]\frac{40m^{3}}{h}[/tex],   [tex]\frac{m^{3} }{\frac{m^{3}}{h} } = h[/tex] so, just divide the Volume by the Rate given since they are under the same units: [tex]\frac{16*10*5}{40} = \frac{800}{40} = 20 hours[/tex].