Vito has an 8-inch by 10-inch piece of cardstock. He cuts it in the shape shown below and folds it on the dotted lines. He tapes the sides to make the box shown below. What is the surface area of the box?

Question

Vito has an 8-inch by 10-inch piece of cardstock. He cuts it in the shape shown below and folds it on the dotted lines. He tapes the sides to make the box shown below. What is the surface area of the box?
Is it:
48 sq in.
24 sq in.
52 sq in.
60 sq in.

GPT 3.5 · Answer

To find the surface area of the box, we need to calculate the area of each individual face and then add them up.

First, let's find the area of the base of the box. The base is a rectangle with dimensions 8 inches by 10 inches, so its area is 8 inches * 10 inches = 80 square inches.

Next, let's find the area of the four sides of the box. Each side is a rectangle with a width of 8 inches and a height of 6 inches (10 inches - 2 inches cut off by folding and taping). So the area of each side is 8 inches * 6 inches = 48 square inches.

There are four sides, so the total area of the four sides is 4 sides * 48 square inches/side = 192 square inches.

Finally, we add the area of the base and the area of the four sides to find the total surface area of the box: 80 square inches + 192 square inches = 272 square inches.

Therefore, the correct answer is not one of the options given. The surface area of the box is 272 sq in.