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.)

(c) Find the largest volume that such a box can have. (Round your answer to three decimal places.) in³