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?

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  1. A.

    I, II and III

  2. B.

    II and III

  3. C.

    Only III

  4. 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

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