Dividing a cube into three cuboids with integral side lengths
Source: Bundeswettbewerb Mathematik 2021, Round 1 - Problem 1
April 12, 2021
3D geometryinequalities
Problem Statement
A cube with side length is divided into two cuboids with integral side lengths by a straight cut. Afterwards, one of these two cuboids is divided into two cuboids with integral side lengths by another straight cut.
What is the smallest possible volume of the largest of the three cuboids?