INTERESTING CUBE COLOURING PROBLEM

Do the following activity using unit cubes.

• A large cube is made from unit cubes. For example 2x2x2 , 3x3x3 etc.

• Then the outside of the big cube is painted on all six faces. You may use stickers and paste them on each face. (It would be easier for you)


• Now observe the following and note down the readings...

• How many unit cubes are painted on 0, 1, 2, or 3 faces?
  Dimension of cube ----2x2x2

• 0 faces painted-------- 0

• 1 face painted--------- 0

• 2 faces painted-------- 0

• 3 faces painted ------- 8

• Total unit cubes-------8 . Try making cubes of dimension 3x3x3 ,4x4x4 and 5x5x5 and do cube colouring problem using stickers.

• Observe a pattern from your readings.

• What if the base of the cube formed is not painted?