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Two boxes have the same volume. Box 1 has dimensions of 8 ft. by 4 ft. by 3 ft. Box 2 has dimensions of 12 ft. by 4ft by 2 ft. The material to make the boxes cost $3.00 per square foot. How much more does Box 2 cost than Box 1?

Verified Answer :

DragonDemon

You would have to find the surface areas of each box, which would be 84 2, 83 2, and 43 2. That 3, would be the cost, and then surface area of 2 would be 124 2, 122 2, and 24 2. That 3 would again be the cost to make the box. That all would be A=64 + 48 + 24, or 136*3 = $408 to make box A, and box B=96 + 48 + 16 = 160*3 = $480 to make box B. Therefore, box B, or $480 - $408 = $72 more.

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