An open box is to be made from a square piece of cardboard, 32 inches on a side, by cutting equal squares with sides of length x from the corners and turning up the sides (see figure below). Determine the function, V, in terms of x, that represents the volume of the box.
calculus - Reiny, Sunday, September 19, 2010 at 11:10am
volume = x(32-2x)^2
which of your answers matches the above once you expand it?