
Which of the following cubes in the answer figure CANNOT be made on the basis of the unfolded cube in the question figure shown in image_9d2ee7.png?
- AOption A
- BOption B
- COption C
- DOption D
Solution & Step-by-step Explanation
Step-by-step Explanation:
1. Identify Opposite Faces:
In an unfolded cube, alternate faces along a straight line or connected wings are opposite to each other. From the net given in image_9d2ee7.png, we can establish the pairs of opposite faces:
* The face with the star () is opposite to the face with the circle ().
* The face with the central dot () is opposite to the face with the grid.
* The face with the square-in-square is opposite to the face with the vertical rectangle/line.
2. Apply the Core Rule of Cubes:
Two opposite faces can never be adjacent to each other in a fully folded cube. If they appear next to each other on visible faces, that cube configuration is impossible to make.
3. Evaluate the Options:
* In Option D, the face with the star () and the face with the circle () are placed adjacent to each other.
* Since these two faces are opposite to each other in the unfolded layout, they cannot be adjacent.
Therefore, the cube in Option D cannot be made.
1. Identify Opposite Faces:
In an unfolded cube, alternate faces along a straight line or connected wings are opposite to each other. From the net given in image_9d2ee7.png, we can establish the pairs of opposite faces:
* The face with the star () is opposite to the face with the circle ().
* The face with the central dot () is opposite to the face with the grid.
* The face with the square-in-square is opposite to the face with the vertical rectangle/line.
2. Apply the Core Rule of Cubes:
Two opposite faces can never be adjacent to each other in a fully folded cube. If they appear next to each other on visible faces, that cube configuration is impossible to make.
3. Evaluate the Options:
* In Option D, the face with the star () and the face with the circle () are placed adjacent to each other.
* Since these two faces are opposite to each other in the unfolded layout, they cannot be adjacent.
Therefore, the cube in Option D cannot be made.