Wednesday, 20 April 2011

Painted Cubes

What is a cube?
A cube is a 3 dimensional object with 6 similiar square faces.
All the sides of the cube are of the same size.














If each side of the cube is 1 unit, then the cube can also be called unit cube.
The dimension of the cube is 1 x 1 x 1
Now if we stack up more cubes to a dimension of 2 by 2 by 2 and paint it all round including the base as shown.

















If all the cubes are separated, how many of the cubes have
1 face painted?
2 faces painted?
3 faces painted?
no face painted?

If we set up another set of cubes to a dimension of 3 by 3 by 3 as shown and have it painted all round just like before.















If all the cubes are separated, how many of the cubes have
1 face painted?
2 faces painted?
3 faces painted?
no face painted?

Hope you could think harder to answer the questions.

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