Stage: 3 Challenge Level: 
You have 27 small cubes, 3 each of nine colours.
Use the small cubes to make a 3 by 3 by 3 cube so that each face of the bigger cube contains one of every colour.
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Use the small cubes to make a 3 by 3 by 3 cube so that each face of the bigger cube contains one of every colour.
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This problem features in Maths Trails - Working Systematically, one of the books in the Maths Trails series written by members of the NRICH Team and published by Cambridge University Press. For more details, please see our publications page .
Interactivities. Visualising. Cubes. Games. Practical Activity. Interlocking cubes. Mathematical reasoning & proof. Generalising. 2D representations of 3D shapes. Squares.
Published April 2001,January 2007.
Copyright © 2007. University of Cambridge. All rights reserved.
NRICH is part of the family of activities in the Millennium Mathematics Project, which also includes the Plus and Motivate sites.
email: nrich@damtp.cam.ac.uk
