1. A polyhedron has 6 vertices and 9 edges. How many faces does it have?
a. 3
b. 5
c. 7
d. 9
2. A polyhedron has 25 faces and 36 edges. How many vertices does it have?
a. 11
b. 12
c. 13
d. 14

Respuesta :

V - number of vertices,
E - number of edges,
F - number of faces:
Euler`s polyhedron formula:
V - E + F = 2
1.  F = E - V + 2
F = 9 - 6 + 2 = 5
Answer: A ) 5
2. V = E - F + 2
V = 36 - 25 + 2 = 13
Answer: C ) 13 
 

Answer: 1. B. 2. C. 3. D. 4. A. 5. A.

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