Question: You need to construct an open-top rectangular box with a square base that must hold a volume of exactly 625 cm. Find the dimensions for

You need to construct an open-top rectangular box with a square base that must hold a volume of exactly 625 cm. Find the dimensions for a box that will minimize the material needed to construct box. width: cm height: cm UPLOAD YOUR WORK BELOW. You must USE CALCULUS! Make sure to show the following work: 1) Build the objective function 2) Find all critical values (make is clear you considered all possibilities -- where f(x) = 0, f*(x) is undefined and endpoints fo the domain 3) Use the Extreme Value Theorem, First Derivative Test or Second Derivative Test to determine which critical value is the minimum. 4) State your answer in a sentence with units

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