According to Euler's formula, what is the value of (E + F + V) for the given $3$ -D structure?

36

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Solution

The correct option is A 36
According to Euler's formula:

$E$ represents the total number of edges of the figure.

$F$ represents the total number of faces of the figure.

$V$ represents the total number of vertices of the figure.

Hence on counting we get,
Edges $= 17$
Faces $= 9$
Vertices $= 10$
$∴ E + F + V = 17 + 9 + 10 = 36$

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