g (i) an open top box will be made using a rectangular tin of 32 in by 60 in buy cutting congruent squares from all 4 corners and then folding. what is the maximum volume? (ii) an open top box with a square base will be made to hold 64 cubic feet. what are the dimensions that will minimize the surface area? (iii) a closed top box with a square base will be made to hold 128 cubic feet. what are the dimensions that will minimize the surface area?