Question

How many smaller cubes will have no side painted?

• A. $18$
• B. $16$
• C. $22$
• D. $8$

Answer 1

Answer: (B)

$16$

The cubes with no face painted are the cubes in the middle.

Therefore, $8$ cubes are not painted.
Now, there are $2$ faces that are not painted.

So there will be cubes that are no painted side on this face. These will be $4$ cubes in the centre.

So total of $8$ cubes.
Therefore, total number of cubes with no painted face $=8+8=16$ cubes
Answer is Option B