1. **Problem Statement:** We have a cube net with faces labeled E, A, B, C, D, F arranged as shown: Top: E Middle row: A B C D Bottom: F We need to determine the correct orientation of the cube for parts (a), (b), and (c) by matching the visible faces on the folded cube to the options given. 2. **Understanding the Cube Net:** - The net folds into a cube. - Opposite faces are pairs that do not share an edge in the net. - From the net, we can deduce opposite faces: - E is opposite C (since E is top and C is in the middle row, opposite side) - F is opposite B - A is opposite D 3. **Rules for Cube Orientation:** - Adjacent faces share an edge in the net. - Opposite faces never appear together on the same visible side of the cube. 4. **Part (a):** - Visible faces in options: - Option A: B, F, D - Option B: B, C, D - Option C: F, A, D - Option D: J, A, D (J is not on the net, so discard) - Check adjacency: - B and F are opposite faces, so cannot be adjacent on the cube. - B and C are adjacent in the net. - F and A are adjacent. - Option C (F, A, D) shows three faces all adjacent in the net. **Answer for (a): Option C** 5. **Part (b):** - Visible faces in options: - Option A: H, A, D (H not on net, discard) - Option B: E, B, A - Option C: D, A, J (J not on net, discard) - Option D: D, C, A - Check adjacency: - E, B, A are adjacent in the net. - D, C, A are adjacent in the net. - Both B and D are adjacent to A and C or E. - Since E is opposite C, E and C cannot be visible together. - Option B (E, B, A) is valid. **Answer for (b): Option B** 6. **Part (c):** - Visible faces in options are not explicitly given, but from the pattern and the net, the visible faces should be consistent with the net. - The visible faces on the cube are C, D, and a partial letter (likely A or B). - Since C and D are adjacent in the net, and A is adjacent to both, the correct orientation includes C, D, and A. **Answer for (c): The cube orientation showing faces C, D, and A** **Final answers:** - (a) Option C - (b) Option B - (c) Orientation with faces C, D, and A