Question
Verify Euler's relation for the following: A square pyramid.
✓
Answer
Euler's relation is: $F - E + V = 2$
A square pyramid: Number of faces $= F$
$= 2$ triangular + $3$ rectangular
$= 5$ Number of edges $= E$
$= 8$ Number of vertices $= V = 5$
$\Rightarrow (F - E + V) = 5 - 8 + 5 = 2$
A square pyramid: Number of faces $= F$
$= 2$ triangular + $3$ rectangular
$= 5$ Number of edges $= E$
$= 8$ Number of vertices $= V = 5$
$\Rightarrow (F - E + V) = 5 - 8 + 5 = 2$
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