5) If an open box has a square base and a volume of111in 3 and is constructed from a tin sheet, find the dimensions of the box, assuming a minimum amount of material is used in its construction 6) A pencil cup with a capacity of48in 3 is to be constructed in the shape of a rectangular box with a square base and an open top If the material for the sides costs40 in 2 and the material for the base costs60 in 2 , what should the dimensions of the cup be to minimize the construction cost

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Question: 5). If an open box has a square base and a volume of111in. 3 and is constructed from a tin sheet, find the dimensions of

5). If an open box has a square base and a volume of111in.³and is constructed from a tin sheet, find the dimensions of the box, assuming a minimum amount of material is used in its construction.

6). A pencil cup with a capacity of48in.³is to be constructed in the shape of a rectangular box with a square base and an open top. If the material for the sides costs40/in.²and the material for the base costs60/in.², what should the dimensions of the cup be to minimize the construction cost?

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