In an open net of a cube, a vertical strip consists of four faces from top to bottom ordered as: , , , and . Two additional side faces, and , are attached to the left and right sides of the face, respectively. When this net is folded into a cube, which symbol will be opposite to ' '?
- A
- B
- C
- D
Solution & Step-by-step Explanation
In an open cube net consisting of a straight strip of four square faces, the alternate faces are always opposite to each other when folded into a 3D cube.
Given the vertical strip from top to bottom:
1.
2.
3.
4.
* The face alternate to is , so is opposite to .
* The face alternate to is , so is opposite to .
* The side faces and will fold up to be opposite to each other.
Therefore, the face opposite to ' ' is .
Given the vertical strip from top to bottom:
1.
2.
3.
4.
* The face alternate to is , so is opposite to .
* The face alternate to is , so is opposite to .
* The side faces and will fold up to be opposite to each other.
Therefore, the face opposite to ' ' is .