A rectangular open box is have a square base, and its volume is to be 125 inches^3. The cost Per in^2 Of the material for the bottom Is 8$ and for the sides is 4$.
A. Find the mathematical model Expressing The total cost Of the material As a function of the edge Lenght Of the square base.
B. What is the total cost If the square Base has edge Lenght of 4 inches
A. Denote length of the side of the square base by The volume of a rectangular box is equal to , where is the heigth of the box. Therefore, . The area of the lateral sides is equal to . Thus, the mathematical model expressing the total cost of the material can be written in the following form:
B. If the square base has edge length of inches, then its total cost is
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