14. Amy is designing a pizza box to fit a large pizza. The box has a square base with each side measuring 16 inches, and the height of the box is 2 inches. Amy wants to know how much cardboard she will need to make the box?

The box is a rectangular prism (cube with different dimensions) with a square base and a top. To use the cardboard needed for the box, we must cover all six faces: the top, the bottom, and the four sides. 1. The area of the square base (and also the top) is \[ 16 \times 16 = 256 \text{ in}^2. \] 2. Thus, the total area for both the top and the bottom is \[ 2 \times 256 = 512 \text{ in}^2. \] 3. Each side is a rectangle with a height of 2 inches and a width of 16 inches, so the area of one side is \[ 16 \times 2 = 32 \text{ in}^2. \] 4. There are four such sides, so their total area is \[ 4 \times 32 = 128 \text{ in}^2. \] 5. Adding these areas together gives the total amount of cardboard required: \[ 512 + 128 = 640 \text{ in}^2. \] Therefore, Amy will need \(\boxed{640 \text{ square inches}}\) of cardboard to make the pizza box.