Sticky Fingers

Ruth wants to puts stickers on the cuboid she has made from little cubes. Will she have any stickers left over?
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Problem



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.