Question

A rectangular swimming pool is 8 ft deep. One side of the pool is 2.5 times longer than the other. The amount of water needed to fill the swimming pool is 2880 cubic feet. Find the dimensions of the pool.

Answer 1

Answer:

First dimension= 12ft Second dimension= 12×2.5=30ft

Step-by-step explanation:

From the question, I was able to deduce that the swimming pool is a cuboid, and the formula for finding the volume of a cuboid is Length×Breadth×Height.

let the first dimension be the length and the second dimension be the breadth.

Therefore, the length=L , Breadth= 2.5×L= 2.5L and Height= 8ft. L×2.5L×8 = 2880 cubic feet.

2.5L²×8= 2880 cubic feet. Therefore, L²= 2880/(2.5×8)=144. L²=144. L=√144. L=12ft. and breadth= 2.5×Length= 2.5×12ft=30ft.

In a nutshell the first dimension is 12ft, and the second is 30ft.