An open box, illustrated in Figure (a) below, is made from an A4 sheet of card using the folds shown in Figure (b). M FF EE BB A C DD C A K GG K. (a) (b) a) Write a formula C(h) for the capacity (volume) of the box. b) Find the domain of C for this problem c) Find the dimensions of the box which maximize its capacity. Hints: • An A4 sheet has a size 210 x 297 [mm] • Allow 12 [mm] flaps as stiffeners (shaded areas in the diagram) • Express the capacity C as a function of the height h.

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