Coach Williams bought trophies for his players at the end of the season. Each trophy is packed in a cube-shaped box that has a volume of one cubic foot. To bring them to the field, Coach Williams stacks them in a small cart. The cart is shaped like a rectangular prism. The bottom of the cart can be completely covered by a layer of 8 boxes. If 3 layers of boxes will fill the entire cart, what is the volume of the cart?

The volume of the cart will be 24 ft^3

Step-by-step explanation:

The first thing we need to calculate for this question is the number of boxes that fill the entire cart.

A layer of boxes consists of 8 boxes.

The cart holds a maximum of 3 layers of boxes.

So, the total number of boxes held by the cart are:

Total boxes = number of layers * boxes per layer

Total boxes = 3 * 8

Total boxes = 24

Since each box has a volume of one cubic foot, the total volume of the cart will be:

Volume of cart = number of boxes * volume of each box

Volume of cart = 24 * 1

Volume of cart = 24 ft^3