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Wewaii [24]
3 years ago
6

If a polyhedron has 5 faces and 7 vertices, then it must have how many edges? Please show step-by-step work

Mathematics
1 answer:
Juli2301 [7.4K]3 years ago
8 0

Answer:

10 edges

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=7\\E=?\\F=5

substitute the given values

7 - E + 5 = 2

solve for E

Combine like terms in the left side

12 - E = 2

subtract 12 both sides

- E = -10

Multiply by -1 both sides

E =10

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