Hot chocolate company is deciding which box shape to use for their new product line. Box a measures 8inches by 6 inches by 9 inches, box b measures 9 inches by 4 inches by 13 inches. Which box requires more material to make

1 answer

To determine which box requires more material to make, we need to calculate the surface area of each box. The surface area of a box is the sum of the areas of all six sides.

For box A:
Surface area = 2(8*6) + 2(8*9) + 2(6*9)
Surface area = 2(48) + 2(72) + 2(54)
Surface area = 96 + 144 + 108
Surface area = 348 square inches

For box B:
Surface area = 2(9*4) + 2(9*13) + 2(4*13)
Surface area = 2(36) + 2(117) + 2(52)
Surface area = 72 + 234 + 104
Surface area = 410 square inches

Therefore, box B requires more material to make as it has a larger surface area compared to box A.