Can a polyhedron have for its faces:

Question:

Can a polyhedron have for its faces:

(i) 3 triangles?

(ii) 4 triangles?

(iii) a square and four triangles?

Solution:

(i) No, because in order to complete a polyhedron, we need at least four triangular faces.

(ii) Yes, a polyhedron with 4 triangular faces is a tetrahedron.

(iii) Yes, with the help of a square bottom and four triangle faces, we can form a pyramid.

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