How deep is the water in the pool?

Question

The YMCA lap pool is a right rectangular prism 36.8\, \text{m}36.8m36, point, 8, space, m long by 20 \,\text{m}20m20, space, m wide. The pool contains 1472 \text{ m}^31472 m
3
1472, space, m, start superscript, 3, end superscript of water.

Answer 1

This question is a little tough to read because of the way the formatting has been pasted, but it looks like it's asking this:

The pool is a right rectangular prism that is 36.8 meters long and 20 meters wide. The pool contains 1472 cubic meters, or m³, of water. How deep is the water in the pool? Or, basically, what is the depth of this prism?

The volume of a right rectangular prism is found by multiplying length times width times depth/height. We'll call it depth for this problem. We can solve for the missing variable, depth, by filling in what we know. We'll use the variable d to represent depth.

Volume = length * width * depth

1472 = 36.8 * 20 * d

Now let's solve for d.

1472 = 36.8 * 20 * d

1472 = 736 * d

Divide both sides by 736 to isolate d.

1472/736 = 736d/736

2 = d

The water in the pool is 2 feet deep.