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Roo has glued $2009$ unit cubes together to form a cuboid. He opens a pack containing $2009$ stickers and he has enough to place one sticker on each exposed face of each unit cube. How many stickers does he have left?

If you liked this problem, here is an NRICH task which challenges you to use similar mathematical ideas.

*This problem is taken from the UKMT Mathematical Challenges.*

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