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19 April, 08:47

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

+2
Answers (1)
  1. 19 April, 10:39
    0
    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
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