Question:
Shown below are the 2 views of a cube. If face P is opposite to 1, Q is opposite to 2 and R is opposite to 3, which option can be folded to make the cube?
Shown below are the 2 views of a cube. If face P is opposite to 1, Q is opposite to 2 and R is opposite to 3, which option can be folded to make the cube?
Updated On: Jan 7, 2026
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The Correct Option is C
Solution and Explanation
To determine which option can be folded to make the cube, let's analyze the relationships between the faces as described:
- Face P is opposite to face 1.
- Face Q is opposite to face 2.
- Face R is opposite to face 3.
Based on these relationships, the adjacent pairs of faces are:
- (P, 2), (P, 3)
- (Q, 1), (Q, 3)
- (R, 1), (R, 2)
Using this information, analyze the options provided:
The faces visible include those that are supposed to be opposite:
- Faces 1 and P are on adjacent sides, which is incorrect because they are opposite.
This option presents a similar issue, where faces opposite to each other are seen as adjacent:
- Faces 2 and Q, 3 and R are adjacent, which again is incorrect because they are opposite.
This configuration correctly places opposite faces without adjacency:
- Face pairs (P, 2), (R, 1), and (Q, 3) are positioned correctly without error.
This arrangement has the same issue:
- Faces placed opposite are depicted adjacent, specifically P-1, Q-2, R-3.
Thus, Option 3 is the correct choice as it properly matches the oppositional relationships between faces and can be folded into the described cube.
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