Calculus › Optimisation problems › Boxes of maximum volume
Stiffest rectangular beam from a log
High school · ●●●○○ 50 pts
The stiffness of a beam is proportional to its width times the cube of its depth. Find the width and depth of the stiffest rectangular beam that can be cut from a cylindrical log of diameter 12 inches. Give the width and depth in inches. Round to three decimal places.