Cheese-Cutting
Source: AIME 2008II Problem 3
April 3, 2008
geometry3D geometryAMC
Problem Statement
A block of cheese in the shape of a rectangular solid measures cm by cm by cm. Ten slices are cut from the cheese. Each slice has a width of cm and is cut parallel to one face of the cheese. The individual slices are not necessarily parallel to each other. What is the maximum possible volume in cubic cm of the remaining block of cheese after ten slices have been cut off?