A rectangular box has a square base with an edge length of x cm
and a height of h cm. The volume of the box is given by V =
x^{2}h cm^{3}. Find the rate at which the volume of
the box is changing when the edge length of the base is 4 cm, the
edge length of the base is increasing at a rate of 2 cm/min, the
height of the box is 15 cm, and the height is decreasing at a rate
of 3 cm/min.

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