Choose the box that is similar to the box formed from the given sheet of paper…
2023
Choose the box that is similar to the box formed from the given sheet of paper (X).
- A.
1 and 3 only
- B.
2, 3 and 4 only
- C.
2 only
- D.
3 and 4 only
Attempted by 87 students.
Show answer & explanation
Correct answer: C
Key insight: the fully shaded face and the half-shaded face from the net become opposite faces on the folded cube.
Because those two shaded squares are opposite in the net, any candidate cube that shows the fully shaded face adjacent to the half-shaded face cannot be formed from this net.
Examine each pictured cube:
Figure (1): shows the fully shaded face next to the half-shaded face, so it cannot be formed.
Figure (2): shows the fully shaded face opposite the half-shaded face, and the small dot appears on the face that matches the net's arrangement. This matches the net and can be formed.
Figure (3): again shows the fully shaded face adjacent to the half-shaded face, so it cannot be formed.
Figure (4): shows no shaded faces, but the net includes shaded faces, so this figure does not match the net.
Conclusion: only the cube shown in figure (2) can be formed from the given net.