A seamstress makes 2 cushions for a couch, a smaller cushion and a larger cushion. The cushions are similar rectangular prisms. The seamstress determines the surface area of each cushion and the volume of the smaller cushion. She wants to calculate the volume of the larger cushion in order to figure out how much stuffing she must buy.
The surface area of the smaller cushion is 972 in2 and its volume is 1604 in3. What is the volume, V, to the nearest cubic inch, of the larger cushion if it has a surface area of 2028 in2?