Step 1: Identifying the shapes.
Among the four shapes, three are solids with flat faces, edges, and vertices. One of them is different because it has no flat surfaces at all.
Step 2: Analysis of options.
- (A) Sphere: A sphere has no faces, no edges, and no vertices, making it completely different in structure.
- (B) Tetrahedron: Has flat triangular faces, edges, and vertices.
- (C) Cube: Has square faces, edges, and vertices.
- (D) Cylinder: Has flat circular faces and a curved surface; still has identifiable faces and edges (rim edges).
Step 3: Conclusion.
The sphere is the odd one out because it is the only 3D object with no flat faces, edges, or vertices.