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Can a polyhedron have for its faces
(i) 3 triangles?
(ii) 4 triangles?
(iii) A square and four triangles?
(i) No, such a polyhedron is not possible. A polyhedron has minimum 4 faces
(ii) Yes, a triangular pyramid has 4 triangular faces
(iii) Yes, a square pyramid has a square face and 4 triangular faces
Using Euler’s formula find the unknown
Faces | ? | 5 | 20 |
Vertices | 6 | ? | 12 |
Edges | 12 | 9 | ? |