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# Cubic Covering

We now glue the yellow faces to the up and bottom faces of the blue cross. We require 5 yellow cubes for wrapping each of the two blue cubes. (We used transparent yellow cubes)

Now we need one yellow cube for each of the four corners:

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Age 14 to 16

ShortChallenge Level

- Problem
- Solutions

We first imagine the cross with the blue cubes only:

We now glue the yellow faces to the up and bottom faces of the blue cross. We require 5 yellow cubes for wrapping each of the two blue cubes. (We used transparent yellow cubes)

Now we need one yellow cube for each of the four corners:

Finally, we have 4 faces to cover, so we need 4 more squares.

Therefore, we used $5+5+4+4 = 18$ yellow cubes.

Therefore, we used $5+5+4+4 = 18$ yellow cubes.

This problem is taken from the UKMT Mathematical Challenges.

You can find more short problems, arranged by curriculum topic, in our short problems collection.

Can you use small coloured cubes to make a 3 by 3 by 3 cube so that each face of the bigger cube contains one of each colour?

How many winning lines can you make in a three-dimensional version of noughts and crosses?