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Ruth has glued 2009 unit cubes together to form a cuboid.
She opens a pack containing 2009 stickers, and she has more than enough to place one sticker on each exposed face of each unit cube.
How many stickers does she have left?
If you liked this problem, here is an NRICH task which challenges you to use similar mathematical ideas.
A 1 metre cube has one face on the ground and one face against a wall. A 4 metre ladder leans against the wall and just touches the cube. How high is the top of the ladder above the ground?
Four rods are hinged at their ends to form a convex quadrilateral. Investigate the different shapes that the quadrilateral can take. Be patient this problem may be slow to load.