Use Euler's formula to find the missing number.

Question

Vertices:13
Edges:38
Faces:?
17
16
18
20

Answer 1

The missing number is 18.

Euler's formula states that V - E + F = 2, where V is the number of vertices, E is the number of edges, and F is the number of faces.

Plugging in the given values, we have:

13 - 38 + F = 2

Simplifying and solving for F, we get:

F = 38 - 13 + 2 = 27

Therefore, the polyhedron has 27 faces, and the missing number is 18.