Solved Problem 04 | Cube

Problem 04
04-cube.jpgFind the volume and total area of the largest cube of wood that can be cut from a log of circular cross section whose radius is 12.7 inches. See figure.
 

04-05 Stiffness and strength of timber beam

Problem 4
The stiffness of a rectangular beam is proportional to the breadth and the cube of the depth. Find the shape of the stiffest beam that can be cut from a log of a given size.