Question

How many smaller cubes have only one surface painted ?

• A. 27
• B. 36
• C. 54
• D. 62

Answer 1

The correct option is C 54

Number of smaller cubes with one surfaces painted$=(n-2{)}^2\times 6$
$=(5-2{)}^2\times 6=54$

Every surface has 9 cubes painted on one face only.

Since there are 6 surfaces, so total number of cubes having colour on one face $=9\times 6=54$.

Hence, option C is correct.