Final answer:
The 'star' shape, created by gluing a square-based pyramid onto each face of a cube, has a total of 24 faces, which are all the triangular faces of the pyramids since the faces of the cube are not visible.
Step-by-step explanation:
The question asks for the total number of faces on a solid shape created by gluing a square-based pyramid onto each face of a cube, with each edge being 1 unit long. Since a cube has 6 faces and the square-based pyramid that is attached to each face of the cube will add an extra face (the base of the pyramid is not counted because it is glued to the cube), for each face of the cube there will be 4 triangular faces (from the pyramid) instead of the original square face. Therefore, the calculation for the total number of faces on the 'star' would be:
- Number of faces on the original cube: 6 (not visible in the final shape)
- Number of triangular faces from the pyramids: 6 pyramids × 4 faces each = 24 faces
To find the total, combine the number of triangular pyramid faces:
Total number of faces = 24 (since the faces of the cube are no longer visible after the pyramids are attached)
Hence, the answer to the question of how many faces the 'star' shape has is 24, which is not presented in the original multiple-choice options.