Question: A box with an open top is to be constructed from a rectangular piece of cardboard with dimensions12in. by25in. by cutting out equal squares of

A box with an open top is to be constructed from a rectangular piece of cardboard with dimensions12in. by25in. by cutting out equal squares of sidexat each corner and then folding up the sides (see the figure).

		25

	12

(a) Find a function that models the volumeVof the box.

V(x) =

4x374x2+300x

(b) Find the values ofxfor which the volume is greater than240in³. (Round your answers to three decimal places. Enter your answer using interval notation.)

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