Question

A cube of side $4cm$ is painted black on all of its surfaces and then divided into various smaller cubes of side $1cm$ each. The smaller cubes so obtained are separated. How many smaller cubes have three surfaces painted?

• A. $4$
• B. $8$
• C. $16$
• D. $24$

Answer 1

The correct option is B $8$

Total number of small cubes formed are $64$.
The cubes with $3$ painted sides will be cubes at the corners. There are $4$ corners on top and $4$ corners below the cube.
Therefore, total of $8$ cubes.
Answer is Option $B$