Santana wants to cover a gift box shaped like a rectangular prism with foil. The foil costs $0.03 per square inch. Santana has a choice between Box A which is 8 inches long, 3 inches wide, and 6 inches high, and Box B which is 10 inches long, 3 inches wide, and 4 inches high. Which box will be less expensive to cover with foil, and by how much?

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6 answers

2(8 * 3) + 2(8 * 6) + 2(3 * 6) = _____ sq. in

Do the same for Box B.
Box b by .48
Box B by $0.04 or 12in.^2
Box A:
2(8x3) + 2(8x6) + 2(3x6)
2(24) + 2(48) + 2(18)
48 + 96 + 36 = 180in2

Box B:
2(10x3) + 2(10x4) + 2(3x4)
2(30) + 2(40) + 2(12)
60 + 80 + 24 = 164in2

Box A: 180 x 0.03 = 5.40
Box B: 164 x 0.03 = 4.92
5.40 - 4.92 = $0.48

Answer: Box B - $0.48
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