Tabulate the number of faces, edges and vertices for the following polyhedrons. (Here ‘V’ stands for the number of vertices, ’F’ stands for the number of faces and ‘E’ stands for the number of edges.)

Solid F V E F + V E + 2

$P y r a m i d w i t h a$
$s q u a r e b a s e$

$P r i s m w i t h a$
$s q u a r e b a s e$

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Solution

In the first figure, there are 5 faces(1 on base and 4 on top). There are 8 edges (4 on top and 4 on base) and 5 vertices (4 on base and 1 on top).

In the second figure, there are 6 faces (2 on side, top and bottom, front and back). There are 12 edges and 8 vertices.

Based on F, V, and E values, we can count F + V and E + 2.

Solid F V E F + V E + 2

$P y r a m i d w i t h a$
$s q u a r e b a s e$ 5 5 8 10 10

$P r i s m w i t h a$
$s q u a r e b a s e$ 6 8 12 14 14

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