a bottom for a box can be made by cutting congruent squares from each of the four corners of a piece of cardboard. The volume of a box made from a 8.5-by-11-inch piece of cardboard would be represented by v(x)=x(11-2x)(8.5-2x). Approximate the dimensions of the box with maximum volume.

Question

anonymous · Answer

Well, if you differentiate V(x) with respect to x and find where it equals 0, you can find the value for x that gives the most volume.