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Please attach a solution VVS: 31 A5 Summer 23 4. A rectangular open-topped box is to be made from a rectangular piece of material by

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VVS: 31 A5 Summer 23 4. A rectangular open-topped box is to be made from a rectangular piece of material by cutting a square from each corner and folding up the sides. The rectangular piece of material is 30 cm long and the width of the base of the box will be three times as large as it is high. Find the size of the square to be removed in order to maximize the volume of the box. State the maximum volume. (6 marks) Unfolded Folded X X X X W X X X L= 30 X 30 cm 2

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