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OpenStudy (anonymous):
(i) A manufacturer wants to design an open box (without cover) having a square base and a surface area of 108 m (dimension: x m long, x m width and h m tall). What dimension will produce a box with maximum volume? (ii) Design a right circular cylinder oil can to carry 1 litre oil. The radius of the can is r and its height is h. What dimension will use the least material?
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