Question

a swimming pool manufacturer makes rectangular pools so that the sides are in ratio 1:2:3 if the pool holds 2058 ft^3 of water when filled to the top what are the dimensions

Answer 1

@SomeoneU

The volume of a rectangular solid can be found by calculating the product of its length, width, and height.

The length, width, and height here are in a 1:2:3 ratio.

Let L = 1x
Let W = 2x
and
Let H = 3x.

V = L*W*H
V = (1x)*(2x)*(3x)
The volume is given to be 2058.

That gives:

2058 = (1x)*(2x)*(3x)

Solve for x and substitute the value of x into the algebraic expression for L, W, and H to get the dimensions of the pool.