The bottom of a shopping bag measures 8 inches by 10 inches. The bag has a height of 12 inches. How much paper is needed to make the bag?
A. 256 in2
B. 296 in2
C. 512 in2
D. 592 in2
1 answer
First, we need to find the surface area of the bottom of the bag, which is 8 x 10 = 80 square inches. Then we need to find the surface area of the four sides of the bag, which is 2(8 x 12) + 2(10 x 12) = 384 square inches. Finally, we add the surface area of the bottom to the surface area of the sides to get the total surface area of the bag: 80 + 384 = 464 square inches. However, since the bag is made from a single sheet of paper that is folded and glued, we need to double this amount to account for both sides of the paper, giving us a total of 928 square inches. Therefore, the answer is D. 592 in2, which is the closest answer choice to our calculated amount.