Cube Problems with Solutions for SSC and Bank Exams

Practice Questions:

Direction (1-4): A large cube is painted on all six faces and then cut into a certain number of smaller but identical cubes. It was found that among the smaller cubes, there were eight cubes which had no face painted at all.

Q.1. How many smaller cubes was the original large cube cut into?

(A) 27

(B) 48

(C) 64

(D) 125

Q.2. How many small cubes have exactly one face painted?

(A) 12

(B) 24

(C) 16

(D) 32

Q.3. How may small cubes have exactly two faces painted?

(A) 6

(B) 12

(C) 18

(D) 24

Q.4. How many small cubes have exactly three faces painted?

(A) 0

(B) 8

(C) 27

(D) 64

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