A cube is painted on all faces and then cut into 27 smaller cubes of equal sizes. How many smaller cubes have exactly two faces painted ?

Correct option is C

Given:
A large painted cube is cut into 27 smaller cubes.
Formula Used:
Total number of cubes =$$n^3$$​​
Number of cubes with exactly two faces painted = 12 × (n - 2)
Solution:
First, determine the value of n by using the total number of smaller cubes.
​$$n^3 = 27$$​​
​$$n = \sqrt[3]{27} = 3$$​​
Cubes with exactly two faces painted are located on the edges of the original large cube, excluding the corners.
Number of cubes with exactly two faces painted = 12 × (3 - 2)
Number of cubes = 12 × 1 = 12
Final Answer
So the correct answer is (c)