The metal frame of a rectangular box has a square base. The horizontal rods in the base are made out of one metal and the vertical rods out of a different metal. If the horizontal rods expand at a rate of 0.005 cm/hr and the vertical rods expand at a rate of 0.010 cm/hr, at what rate is the volume of the box expanding when the base has an area of 100 cm2 and the volume is 2000 cm3?
