MathDB
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 10 10 cm by 13 13 cm by 14 14 cm. Ten slices are cut from the cheese. Each slice has a width of 1 1 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?