A hot chocolate company is deciding which box shape to use for the new product line The first box A measures 8 in by 6 in x 9 in The second box box B measures 9 in by 4 in x 13 in which box requires more material to make A or B
To determine which box requires more material to make, we need to calculate the surface area of each box.
For box A:
- Surface area = 2lw + 2lh + 2wh
- Surface area = 2(8)(6) + 2(8)(9) + 2(6)(9)
- Surface area = 96 + 144 + 108
- Surface area = 348 square inches
For box B:
- Surface area = 2lw + 2lh + 2wh
- Surface area = 2(9)(4) + 2(9)(13) + 2(4)(13)
- 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 than box A.