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(b) A cardboard box (without a top) is to be constructed from a 30cm-by-30cm square sheet of cardboard by cutting 4 square pieces of the

(b) A cardboard box (without a top) is to be constructed from a 30cm-by-30cm square sheet of cardboard by cutting 4 square pieces of the same size from the corners of the sheet, followed by folding up the sides. Determine the dimensions of the box with the largest possible volume that can be constructed. (10 marks)

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