Choose the box that is similar to the box formed from the given sheet of paper.
- ABox A
- BBox B
- CBox C
- DBox D
Solution & Step-by-step Explanation
To determine which cube can be formed, let's analyze the opposite pairs of faces from the unfolded net:
1. The face with the dot (•) is opposite to the blank face below the '+' face.
2. The face with the '+' symbol is opposite to the bottom-most blank face in the vertical line.
3. The face with the half-shaded triangle is opposite to the face with the diamond (♢) symbol.
Opposite faces can never be adjacent to each other in a folded cube. Let's evaluate the options based on these rules:
* Option A: Shows the dot (•), the '+' symbol, and the shaded triangle face adjacent to each other. None of these are opposite pairs. However, if we look at the orientation from the net, when the dot is on top and the '+' is on the right face, the shaded triangle face folds to the left side, with the dark region positioned adjacent to the '+' face. This matches the given figure perfectly.
* Option B: Shows the diamond (♢) and the dot (•) adjacent to the shaded triangle face. Since the diamond and the shaded triangle face are opposite to each other, they cannot appear together. Thus, Option B is incorrect.
* Option C: Shows the dot (•), the diamond (♢), and the shaded triangle face. Again, the diamond and the shaded triangle face are opposite and cannot be adjacent. Thus, Option C is incorrect.
* Option D: Shows the dot (•), the '+' symbol, and the shaded triangle face. However, the orientation of the triangle's shading relative to the dot and the '+' symbol is incorrect compared to how the paper folds.
Therefore, only the box in option A can be formed.
1. The face with the dot (•) is opposite to the blank face below the '+' face.
2. The face with the '+' symbol is opposite to the bottom-most blank face in the vertical line.
3. The face with the half-shaded triangle is opposite to the face with the diamond (♢) symbol.
Opposite faces can never be adjacent to each other in a folded cube. Let's evaluate the options based on these rules:
* Option A: Shows the dot (•), the '+' symbol, and the shaded triangle face adjacent to each other. None of these are opposite pairs. However, if we look at the orientation from the net, when the dot is on top and the '+' is on the right face, the shaded triangle face folds to the left side, with the dark region positioned adjacent to the '+' face. This matches the given figure perfectly.
* Option B: Shows the diamond (♢) and the dot (•) adjacent to the shaded triangle face. Since the diamond and the shaded triangle face are opposite to each other, they cannot appear together. Thus, Option B is incorrect.
* Option C: Shows the dot (•), the diamond (♢), and the shaded triangle face. Again, the diamond and the shaded triangle face are opposite and cannot be adjacent. Thus, Option C is incorrect.
* Option D: Shows the dot (•), the '+' symbol, and the shaded triangle face. However, the orientation of the triangle's shading relative to the dot and the '+' symbol is incorrect compared to how the paper folds.
Therefore, only the box in option A can be formed.