Possible dimension of a box with a volume of 100 cubic cm 10 x 10 x 1 = 100 10 x 5 x 2 = 100 5 x 5 x 4 = 100
Surface area: 10 x 10 x 1 dimensions: 10 x 10 = 100 x 2 = 200 sq.cm 10 x 1 = 10 x 4 = 40 sq. cm 240 sq. cm * $0.05 / 100 sq.cm = $0.12 per box 0.12 per box * 100 boxes = $12
10 x 5 x 2 dimension 10 x 5 = 50 x 2 = 100 sq. cm 10 x 2 = 20 x 2 = 40 sq. cm 5 x 2 = 10 x 2 = 20 sq. cm 160 sq. cm * $0.05/100 sq. cm = $0. 08 per box 0.08 per box * 100 boxes = $8
5 x 5 x 4 dimension 5 x 5 = 25 x 2 = 50 sq. cm 5 x 4 = 20 x 4 = 80 sq. cm 130 sq. cm * $0.05/100 sq. cm = $0.065 per box 0.065 per box * 100 boxes = $6.50
The best dimension to use to have the least cost to make 100 boxes is 5 x 5 x 4. It only costs $6.50 to make 100 boxes.
