Question

ASAP!!!!!!!!!! Euler's formula, V – E + F = 2 relates the number of vertices V, the number of edges E, and the number of faces F of a polyhedron. How many faces does a polyhedron with 5 vertices and 8 edges have?

A. 7
B. 6
C. 4
D. 5



(55 points to who gets it first)

Answer 1

Using Euler's formula, V – E + F = 2, we can find the number of faces F a polyhedron with 5 vertices and 8 edges has.

Substituting V = 5 and E = 8 into the formula gives:

5 - 8 + F = 2

Simplifying gives:

F = 5

Therefore, the polyhedron has 5 faces.

The answer is D.

Answer 2

5

Explanation:

v - e + f =2

5 - 8 + f = 2

f = 2 - 5 + 8

= 5