Question

A rectangular swimming pool is 6 ft deep. One side of the pool is 4.5 times longer than the other. The amount of water needed to fill the swimming pool is 3888 cubic feet. Find the dimensions of the pool.

Answer 1

162

Explanation:

6*4.5=27

6*27=162

Answer 2

Dimension of pool are length = 12 feet, width = 54 feet and depth = 6 feet.

Solution :

Need to find dimensions of a swimming pool.

Depth of pool = 6 feet

Given that one side of the pool is 4.5 times longer than other.

Let’s say width of pool = x

So other side that is length of the pool = 4.5x

`\text { Volume of cuboid }=\text { length } * \text { width } * \text { depth }`

`\text { volume of swimming pool }=6 * x * 4.5 x`

volume of pool =
`27 x^(2)` --- eqn 1

Also given that amount of water needed to fill the pool is 3888 cubic feet that is volume of pool is 3888 cubic feet. Substituting volume in equation (1)

`3888=27 x^(2)`

Now solving above equation for x.

`x^(2)=(3888)/(27)=144=12^(2)`

so x = 12

so width of pool = x = 12 feet

By substituting the value of “x” we get length of pool

And length of pool = 4.5x = 4.5
`*` 12 = 54 feet

Hence dimension of pool are length = 12 feet, width = 54 feet and depth = 6 feet.