Question

Using Euler's formula, how many

faces does a polyhedron with
20 vertices and 30 edges have?
?] faces

Answer 1

Faces = 12

Explanation:

• Given: V = 20, E = 30

• To find: F

• Euler's formula is given as:

• F + V - E = 2

• Plugging the values of V and E in the above formula, we find:

• F + 20 - 30 = 2

• -> F - 10 = 2

• -> F = 2 + 10

• -> F = 12