Question: An open box with a square base is to be made from a square piece of cardboard 24 inches on a side by cutting out

An open box with a square base is to be made from a square piece of cardboard 24 inches on a side by cutting out a square from each corner and turning up the sides. See the figure.

24 in. -24 in.-

(a) Express the volume V of the box as a function of the length x of the side of the square cut from each corner.

(b) What is the volume if a 3-inch square is cut out?

(d) Graph V = V(x). For what value of x is V largest?

24 in. -24 in.-

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