WBCS.LIVE practice question

A solid cube is painted red on all of its faces. It is then cut into 64 smaller cubes of perfectly equal size. How many of these smaller cubes have absolutely no face painted?

Solve this multiple-choice question and check the correct answer with its explanation below.

Answer options

  1. 4
  2. 8
  3. 12
  4. 16

Correct answer and explanation

Correct answer: 8

Explanation: ✅ Correct Answer: B) 8 📚 Explanation: The total number of smaller cubes is 64, which means the cube was cut into a 4 × 4 × 4 grid (since 4³ = 64). The formula to find the number of inner, unpainted cubes is (n - 2)³, where n is the number of divisions along one edge. Here, n = 4. So, (4 - 2)³ = 2³ = 8.