Question

Max is using a hose to fill an above ground swimming pool, which is shaped like a rectangular prism. the pool is 7meters long and 3 meters wide, and max plans to fill the pool with water 0.75 meters deep. the house flows at a rate of 2,250 liters, or 2.25 cubic meters, per hour.
how long does it take to fill the pool?

write your answer as a whole number or decimal. do not round. ​

Answer 1

Using the volume of the rectangular prism, it is found that it takes 7 hours to fill the pool.

What is the volume of a rectangular prism?

The volume of a rectangular prism of dimensions l, w and h is given by the multiplication of it's dimensions, that is:

V = lwh.

In this problem, the dimensions in meters are: l = 7, w = 3, h = 0.75. Hence, the volume in cubic meters is:

V = lwh = 7(3)(0.75) = 15.75.

It fill 2.25 cubic meters per hour, hence, for 15.75 cubic meters, the time taken is:

15.75/2.25 = 7 hours.

More can be learned about volume of a rectangular prism at brainly.com/question/17223528