## Cuboid Perimeters To Volume

#### Problem

For any given cuboid it is possible to measure up to three different perimeters. For example, one perimeter could be measured this way.

Given that cuboid A has perimeters 12, 16, and 20, and cuboid B has perimeters 12, 16, and 24, which cuboid has the greatest volume?

Problem ID: 357 (26 Aug 2009) Difficulty: 3 Star