Consider a cube made by folding a single sheet of paper of appropriate shape.
The interior faces of the cube are all blank. However, the exterior faces that are
not visible in the above view may not be blank.
Which one of the following represents a possible unfolding of the cube?
(A)
(B)
(C)
(D)
END OF THE QUESTION PAPER
Official Answer Key:
MTA
Step-by-Step Solution & Explanation
### **Official Solution & Step-by-Step Derivation (GATE PH 2022 Q.10)**
**1. Spatial Reasoning & Official Examination Status**:
- **Prompt**: Unfolding a cube constructed from a single sheet of paper with non-visible exterior markings.
- **IIT Official Determination**: Due to an inherent ambiguity in the visual perspective and unfolding rotation orientations in the original printed diagram, this question was declared **Marks to All (MTA)** by IIT Kharagpur.
**2. Analytical Principles of Cube Nets**:
- A standard cube net consists of 6 connected square faces.
- Any valid net must allow folding into a 3D cube without faces overlapping or leaving gaps.
- When an official question is marked MTA, full credit is awarded to all registered candidates regardless of whether an option was chosen.
**3. Official Verification**:
The verified official IIT Master Key classification is **MTA (Marks to All)**.
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