It is your job to design an open-topped rectangular box with height h and a square base of side length s using 5 sheets of
metal (one for the base and 4 equal ones for the sides). You are allowed to use a total of 5 square meters of metal. Let V be
the volume of the box and A be the area of the box. Begin by finnding formulas for V and A in terms of s and h. Given that
A = 5 and a formula for V involving ONLY s (no h's). Finally use your graphing calculator to estimate the value of s that
gives the maximum volume. s is

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You have to plug in A=5 and plot the equation,
\[V=\frac{s}{4}(5-s)\]

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