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'Painted Faces' printed from http://nrich.maths.org/
This activity is all about
imagining, as you might do when you listen to a story or
There is no need to write or draw
talking about it could be
find a friend to do this
Imagine a 3 by 3 by 3 cube made from 27 smaller cubes.
Perhaps it's here - but behind this cloud!
So, remove the cloud in your mind
and there it is!
It's hanging in the air in front of you so you can just see one
face of it and that face has been painted red
The right-hand side face has been
The left-hand side face has been
The top face has been painted
The underneath bottom face has
been painted black
The back face has been painted
1. How many small cubes have just two of their faces painted?
2. Where are they?
3. What are the two colours on each of those small cubes that have
two faces painted?
Now you could try the same things with a larger starting cube, that
is 4 by 4 by 4, and answer the same three questions.
If you'd like to take these ideas a bit further, have a look at