Stage:5 Challenge Level:
The cube is cut in half by the plane containing triangle PQR. Where does this plane cut the other edges of the cube? Describe the symmetries of the 'half cube' obtained.
The points P, Q and R are one third of the way along the edges AB, GH and ED respectively.
Cubes. Coordinates - 3D. Rotations. Translations. Reflections. Interactivities. Cartesian equations of planes. Long problems. Symmetry. Visualising.
Published February 1999.
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