21. A box with an open top is to be constructed from a rectangular piece of...
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21. A box with an open top is to be constructed from a rectangular piece of cardboard 2m x 3m, by cutting out a square from each of the four corners and bending up the sides. Find the dimensions of the box if it is to have a maximum volume. [6 marks] 21. A box with an open top is to be constructed from a rectangular piece of cardboard 2m x 3m, by cutting out a square from each of the four corners and bending up the sides. Find the dimensions of the box if it is to have a maximum volume. [6 marks]
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