A wooden beam has a rectangular cross section of height h and width w (see figure). The

Question:

A wooden beam has a rectangular cross section of height h and width w (see figure). The strength S of the beam is directly proportional to the width and the square of the height. What are the dimensions of the strongest beam that can be cut from a round log of diameter 20 inches? S = kh²w, where k is the proportionality constant.