The effects of scaling, explored in the previous two problems for cubes and spheres, also apply to odd shaped objects. Just think of them as composed of many small cubes and ask what happens to the cubes as you change their lengths.
In the novel Gulliver's travels by Jonathan Swift, Gulliver visits a country, Brobdingnag , in which everything, including people, plants, buildings, etc., is 12 times as large as in England. (In that same novel Gulliver visits several other strange countries, and in a conversation with the King of Brobdingnag casually refers to the future United States as "our plantations in America".) Suppose Gulliver encounters a giant who is shaped exactly like Gulliver, except he is twelve times as tall. Then the weight of that giant is times that of Gulliver. The area of the cross section of one of the giant's bones is times that of Gulliver's corresponding bone. Hence the ratio of the giant's weight and the area of his bone's cross section is times that of Gulliver's corresponding ratio. What do you think would happen to the giant?
Hint: Understand scaling.