By folding the given paper, which of the following cube(s) cannot be made?
2021
By folding the given paper, which of the following cube(s) cannot be made?

- A.
I, II and III
- B.
II and III
- C.
Only III
- D.
I, II and IV
Attempted by 52 students.
Show answer & explanation
Correct answer: D
1. Identify opposite faces in the open dice: Moving in a straight line, skipping one square, we find opposites. Thus, A is opposite 3, 4 is opposite 8, and 9 is opposite 2[cite: 4]. 2. Analyze the cubes: Opposite faces cannot be adjacent in a valid 3D cube[cite: 4]. - Cube I shows 4 and 8 adjacent, which contradicts the rule[cite: 4]. - Cube II shows 9 and 2 adjacent, which contradicts the rule[cite: 4]. - Cube III is valid as no opposite faces are adjacent[cite: 4]. - Cube IV shows A and 3 adjacent, which contradicts the rule[cite: 4]. 3. Since cubes I, II, and IV cannot be made, Option D is the correct choice. Final Answer: Option D