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?

• A.

  

• B.

  

• C.

  

• D.

  

Answer 1

The Correct Option is C

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.