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3 years ago

In a pentagonal pyramid you have 6 vertices and 6 faces. Find the number of edges using Euler’s theorem

Mathematics

1 answer:

prohojiy [21]3 years ago

3 0

Answer:

The number of edges is 10

Step-by-step explanation:

we know that

The Euler's formula state that, the number of vertices, minus the number of edges, plus the number of faces, is equal to two

$V - E + F = 2$

we have

$V=6\\F=6\\E=?$

substitute the values

$6 - E + 6 = 2$

solve for E

$- E + 12 = 2$

$E=12-2\\E=10$

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