SSC CGL 2022 PYQ — Question 86

SSC CGL - 18 April 2022 - Shift 3 • Reasoning • Q86

A cube of side 12 cm is painted green on all the faces and then cut into smaller cubes of sides 2 cm each. Find the number of smaller cubes that have only one face painted.

Show answer & explanation

Correct answer: B

Explanation

The correct answer is option 2 i.e. 96.

A cube of side 12 cm is painted green on all the faces and then cut into smaller cubes of sides 2 cm each. So, length of each smaller cube = 12 / 2 = 6 

So, the number of smaller cubes having only one face painted = 6(Smaller cube length - 2)2 = 6(6 - 2)2 = 6(16) = 96