Question: Calculus Problem 8. (1 point) A box is to be made out of a 12 cm by 20 cm piece of cardboard. Squares of side

Calculus

and then the ends and sides will be folded up to form

Problem 8. (1 point) A box is to be made out of a 12 cm by 20 cm piece of cardboard. Squares of side length c cm will be cut out of each corner, and then the ends and sides will be folded up to form a box with an open top. (a) Express the volume V of the box as a function of r. V = cm3 (b) Give the domain of Vin interval notation. (Use the fact that length, width and volume must be positive.) (c) Find the length L, width W, and height H of the resulting box that maximizes the volume. (Assume that W oo is Note: You can earn partial credit on this

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