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There is an open-topped box that will have 5 sides.. The box to contain a volume...

There is an open-topped box that will have 5 sides.. The box to contain a volume of 6 ft3 and to have a square base. The base needs a stronger material which costs $3 per ft2. For the other sides I’ll use a material that costs $2 per ft2. What are the dimensions of the box that minimize the cost?

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