Answer:
Height: 6 feet, Length: 14 feet, Width: 35 feet.
Step-by-step explanation:
The volume of a rectangular prism is length * width * height.
We know that the height of the pool is 6 feet and that one side is 2.5 times longer than the other. It doesn't matter which side, as long it's not the height. So let's just say the width is 2.5 times bigger than the length.
That means our equation can be rewritten as V = height * length* 2.5 * length.
Plugging in what we know, we get:
[tex]2940=(6)(l)(2.5l)\\196=l^{2} \\l=14 feet[/tex]
Now we need to find the width.
[tex]w=2.5l\\w=2.5(14)\\w= 35feet[/tex]
