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Nonamiya [84]
3 years ago
10

Use Euler’s formula to find the number of vertices in a polyhedron with 6 square faces and 12 edges

Mathematics
1 answer:
Sloan [31]3 years ago
3 0

Answer:

V = 8

Step-by-step explanation:

we know that

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

V - E + F = 2

in this problem  we have

V=?\\E=12\\F=6

substitute the given values

V - 12 + 6 = 2

solve for V

Combine like terms left side

V - 6 = 2

Adds 6 both sides

V - 6+6 = 2+6

V = 8

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