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An open box with a square base is to be made from a square piece of plastic of 36 inches by cutting out a square piece from each corner whose length is x, and then turning the sides up.

a) Find the volume of the box as a function of x.
b) What is the maximum volume such a box could hold?
c) What are the dimensions of this box?
d) What is the surface area of this box?

An Open Box With A Square Base Is To Be Made From A Square Piece Of Plastic Of 36 Inches By Cutting Out A Square Piece From Each Corner Whose Length Is X And Th class=

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