The first box A measures 8in by 6in by 9in.Box B measures 9in by 4in by 13 in. Which box requires more material to make?
To find out which box requires more material to make, we need to calculate the surface area of each box.
For box A, the surface area is:
- Front and back: 8in x 9in = 72 square inches x 2 = 144 square inches
- Top and bottom: 8in x 6in = 48 square inches x 2 = 96 square inches
- Sides: 6in x 9in = 54 square inches x 2 = 108 square inches
Total surface area of Box A = 144 + 96 + 108 = 348 square inches
For box B, the surface area is:
- Front and back: 9in x 13in = 117 square inches x 2 = 234 square inches
- Top and bottom: 9in x 4in = 36 square inches x 2 = 72 square inches
- Sides: 4in x 13in = 52 square inches x 2 = 104 square inches
Total surface area of Box B = 234 + 72 + 104 = 410 square inches
Therefore, Box B requires more material to make than Box A.