Question

A rectangular swimming pool is 6 it deep. One side of the pool is 3.5 times longer than the other. The amount of water needed to fill the swimming pool is
1344 cubic feet. Find the dimensions of the pool.

Answer 1

Answer:

Dimension of pools are  length = 42 ft , width = 12 ft and depth = 8 ft that is 42ft × 12ft × 8 ft

Step-by-step explanation:

given that depth of pool = 8 ft

let say one side of pool that is width = x

so other side of pool that is lenght = 3.5x [ given ]

volume of rectangular swimming pool is same as amount of water required to fill the swimming pool = 4032 cubit ft

Volume of rectangular pool = length × width × depth of swimming pool

⇒ 4032 cubic ft = 3.5x × x × 8

⇒ 4032/(3.5 ×8 ) = x²

⇒x² = 144

⇒x = √144 = 12

⇒3.5x = 12 × 3.5 = 42

hence dimension of pools are  length = 42 ft , width = 12 ft and depth = 8 ft that is 42ft × 12ft × 8 ft

Answer 2

Answer:

8 feet by 28 feet by 6 feet

Step-by-step explanation:

So volume is length times width times height

It tells us that the volume is 1344 cubic feet (the water used to fill it)

And it also tells us that the height/depth (which are the same thing in this case) is 6ft

All we need now are length and width

We know that one of the sides is 3.5 times the other one. So we can just say length is x and width is 3.5x

So plugging that in, the equation becomes

$3.5x*x*6=1344$

3.5 x times x is just 3.5x squared so

$3.5x^2*6=1344$

       divide both sides by 6

$3.5x^2=244$

       divide by 3.5

$x^2 =64$

        $x=\sqrt{64}$

x = 8

So that means the one side is 8 feet long and the other side is 3.5 times that, which is 28 feet long.

So the dimensions of the pool are 8 feet by 28 feet by 6 feet