**EXPERT ANSWER**

# (1 point) A box is to be made out of a 6 cm by 16 cm piece of cardboard. Squares of side length x 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 x. V= (b) Give the domain of V in 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

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