A closed rectangular box is to have volume V cm 3 The cost of the material used in the box is a cents cm 2 for top and bottom, b cents cm 2 for front and back, and c cents cm 2 for the remaining sides What dimensions minimize the total cost of materials ...

Let the dimensions of the rectangular box be length l width w and height h in cm Then the volume of ...

A closed rectangular box is to have volume V cm 3 . The cost of the material

Question:

A closed rectangular box is to have volume V cm³. The cost of the material used in the box is a cents/cm² for top and bottom, b cents/cm² for front and back, and c cents/cm² for the remaining sides. What dimensions minimize the total cost of materials?

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