# Tabulate the number of faces, edges and vertices for the following polyhedrons: (Here ‘V’ stands for number of vertices, ‘F’ stands for number of faces and ‘E’ stands for number of edges). Solid F V E F+V E+2 Cuboid           Triangular pyramid           Triangular prism           Pyramid with square base           Prism with square base           What do you infer from the last two columns? In each case, do you find $F + V = E + 2$, i.e., $F + V %u2013 E = 2$? This relationship is called Euler’s formula. In fact this formula is true for any polyhedron.

D Divya Prakash Singh

Solid F V E F+V E+2
Cuboid 6 8 12 14 14
Triangular pyramid 4 4 6 8 8
Triangular prism 5 6 9 11 11
Pyramid with square base 5 5 8 10 10
Prism with square base 6 8 12 14 14
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