SOLUTION: if a cube of length 16 cm is painted on all faces in blue then cut up into 2cm cube , then how many faces on the 2cm cubes are not painted

Question 1141153: if a cube of length 16 cm is painted on all faces in blue then cut up into 2cm cube , then how many faces on the 2cm cubes are not painted
Answer by greenestamps(13203) (Show Source): You can put this solution on YOUR website!

(1) Find the total number of faces on all the small cubes.

After the big cube is cut up, the number of small cubes is 8*8*8. Each of those small cubes has 6 faces.

(2) Find the number of faces on the small cubes that ARE painted.

The faces of the small cubes that are painted are the faces that were on a face of the original cube. The original cube has 6 faces; each of those faces has 8*8 small cubes.

(3) The number of faces of the small cubes that are not painted is the difference between the answers from (1) and (2).

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