Copyright © University of Cambridge. All rights reserved.

## 'Cut Cube' printed from http://nrich.maths.org/

Points P, Q and R are drawn on a cube, one third of the way along the edges AB, GH and ED respectively, as shown in the diagram. The cube is then cut along the plane PQR. Which slice, if any, has the greater volume? Describe the shape and symmetries of the pieces obtained.