Question

A cube has to be cut in to 27 smaller cubes. What is the minimum number of cuts required to do so?

• A. 12
• B. 9
• C. 8
• D. 6

Answer 1

The Correct Option is D

A cube consists of n³ smaller cubes after cuts.

We need to divide the cube into 3³ = 27 smaller cubes.

The minimum cuts required to divide the cube along three dimensions (length, width, and height) into three parts each:

• 2 cuts along length
• 2 cuts along width
• 2 cuts along height

Total cuts required = 2 + 2 + 2 = 6.

Conclusion: Thus, the correct answer is 6 cuts (Option D).