Question

A bigger cube is painted yellow on each of its faces. Now the cube is cut into 216 identical pieces making a large cube.How many of the smaller cubes will have exactly three faces painted?

Answer 1

Answer:

8 Cubes will be three face painted

Step-by-step explanation:

A bigger cube is painted yellow on each of its faces.

Now the cube is cut into 216 identical pieces

=> 6 * 6 * 6 = 216 cubes

Now only the cubes on the corner of Edges Have   three face Painted

Each corner is Shared by 3 Edges

& Each edge Has two Sides

So number of Such cubes = 2 * Edges of cube / 3

= 2 * 12 / 3

= 8

8 Cubes will be three face painted

or We can say that Cube at vertex has 3 face painted

and cube has 8 vertex

so 8 Cubes will be three face painted