Question

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

Answer 1

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!