A garbage can is in the shape of a rectangular prism. The area of the base of the garbage can is 480 square inches. The height of the garbage can is 30 inches.

(Part A)
how many cubic inches of space are inside this garbage can?

(Part B)
Explain how you know your answer is correct.

A. 480 * 30 = ?

I'll leave the explanation up to you.

To find the answer to Part A, we need to calculate the volume of the garbage can. The volume of a rectangular prism can be found by multiplying the area of the base by the height.

Given that the area of the base is 480 square inches and the height is 30 inches, we can use the formula:

Volume = Area of Base * Height

Volume = 480 square inches * 30 inches

Part A:
Therefore, the volume of the garbage can is 14,400 cubic inches.

Now, let's move on to Part B to explain how we know the answer is correct.

To verify that the calculated answer is correct, we can use a simple reasoning:

The volume represents the amount of space that can be occupied by an object. In this case, the volume of the garbage can represents the amount of garbage that can fit inside it.

Given the shape of the garbage can, a rectangular prism, it is reasonable to assume that the entire internal space inside the garbage can is usable. So, if we calculate the volume using the provided dimensions, we can be confident that it accurately represents the amount of space inside the can.

Therefore, based on the calculations, we can conclude that the answer obtained for Part A is correct.