Question

Use Euler’s Formula to find the missing number.
Edges: 37
Faces: 25
Vertices: ?

Answer 1

Explanation:

Comment

The formula that relates edges faces and vertices is F + V = E + 2

Givens

Edges (E): 37

Faces (F) = 25

Vertices: x

Solution

25 + x = 37 + 2 Subtract 25 from both sides.

25-25 +x= 37 - 25 + 2 Combine

x = 12 + 2

x = 14

Answer: The vertices = 14