The great family is putting in a pool in the shape of a rectangle or prism the first plan shows a pool that is 15 feet long 12 feet wide and 5 feet deep the second plan shows a pool with the same length and width but a depth of 7 feet how much more water is needed to fill the second pool if both pools are filled to the top

Hello!

We first need to find the volume of the two pools. Volume can be found using the following formula:

volume = length × width × depth

Let's begin with the first plan. Insert any known values into the formula above:

volume = 15 × 12 × 5

Simplify the right side of the equation:

volume = 900

We have now proven the volume of the first pool to be 900 ft³. Now calculate the volume of the second pool using the same method. Insert any known values:

volume = 15 × 12 × 7

Simplify the right side of the equation:

volume = 1260

We have now proven the volume of the second pool to be 1260 ft³. We are now asked to find the difference between these two volumes. To do this, we can use a simple equation:

1260 – 900 = 360

The difference in volume between the two pools is 360. Therefore, the second pool requires 360 ft³ more water than the first.

I hope this helps!