Question

A sandbox in the shape of a

rectangular prism is 2 feet deep.
Filled to the top, it holds 72 cubic
feet of sand. Select all that could be
the dimensions of the base of the
sandbox.
6 feet X 6 feet
36 feet X 2 feet
4 feet X 9 feet
12 feet X 3 feet
18 feet X 4 feet

Answer 1

Explanation:

Answer 2

1. 6 feet X 6 feet

2. 4 feet X 9 feet

3. 12 feet X 3 feet

Explanation: We know that the volume formula of a rectangular prism is required to solve this problem. Since the formula is
`l*w*h` where each represent their own quantities, we can use the information given to us to see what we have to solve for. We are given the height and the volume so lets plug it into the equation

`72 ft^3=l*w*2feet`

`36ft^2=l*w`

That means that the area of the base must be 36. The answers that have the base equaling 36 feet are right. Therefore the answers are the first option, fourth option and fifth option.