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8. (10 points) A box with a square base will be built with copper plated sides, nickel plated bottom and top, and a volume of

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8. (10 points) A box with a square base will be built with copper plated sides, nickel plated bottom and top, and a volume of 40 cm . If nickel plating costs $2 per cm and copper plating costs $1 per cm, find the dimensions of the box to minimize the cost of materials

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