A convex polyhedron has 18 edges and 4 more vertices than faces. How many faces does the polyhedron have?

Euler's formula: V + F = E + 2

A) 8

B) 12

C) 14

D) 16

Question

Heidy

1 June, 14:16

+5

Answers (1)

Know the Answer?

Beau Benton · Answer 1

The answer is D.

F + 4 = 18 + 2

F + 4 = 20

subtract 4 on both sides to get F = 16

A convex polyhedron has 18 edges and 4 more vertices than faces. How many faces does the polyhedron have?Euler's formula: V + F = E + 2A) 8B) 12C) 14D) 16