Question

How many cubes have only three faces painted ?

• A. $8$
• B. $4$
• C. $2$
• D. $0$

Answer 1

Answer: (A)

$8$

In the given statement, there are $36$ cubes, $32$ of which are of the same size and $4$ other sure of bigger size. Clearly, each side of bigger cubes is twice as large as that of similar cubes. Also, since no face of any of the larger cubes is painted blue, so each one of the larger cubes has one face painted red, one is black and all other faces are unpainted.
The $8$ cubes at the edges of the block have three faces painted.

Hence, there are 8 cubes with three faces painted.