Question:
How many faces are there in a
(i) cube
(ii) pentagonal
(iii) tetrahedron
(iv) pentagonal pyramid?
Solution:
(i) A cube has 6 faces, namely IJKL, MNOP, PLIM , OKJN, POKL and MNJI.
(ii) A pentagonal prism has 7 faces, i.e. 2 pentagons and 5 rectangles, namely ABCDE, FGHIJ, ABGF, AEJF , EDIJ, DCHI and CBGH.
(iii) A tetrahedron has 4 faces, namely KLM, KLN, LMN and KMN.
(iv) A pentagonal pyramid has 6 faces, i.e. 1 pentagon and 5 triangles, namely NOPQM, SNM, SOP, SNO, SMQ and SQP.