Question

A CUBE IS COLOURED THAN CUT .HOW MANY FACES HAVE ONLY ONE FACE COLOURD

Answer 1

A painted cube that is cut into 27 equal-size smaller cubes has been cut into a 3 * 3 * 3 arrangement.

 

There is 1 cube in the very center (middle of 3 in each axis direction -- pitch, roll, and yaw), so 1 cube has no paint.

 

On each of the 6 sides of the cube, there is a central smaller cube that is painted once.

 

Also on each of the 6 sides of the cube, there are 4 cubes (at the middle of the edges).  These are shared with one other side of the cube (or we could just count the 12 edge lines -- 12).  So, 6 * 4 / 2, or just 12, smaller cubes are painted on 2 edges.

 

That leaves the 8 corners of the original cube, which are painted on 3 surfaces.

 

1 (no paint) + 6 (painted 1) + 12 (painted 2) + 8 (painted 3) = 27 total


hope it helps.