Question

Use Euler’s Formula to find the missing number.

Edges: 37
Faces: 25
Vertices: ?

Answer 1

Number of vertices = 14

Explanation:

Let e be the number of edges, f be the number of faces and v be the number of vertices.

As per the statement:

Number of edges(e) = 37

Number of faces(f) = 25

We have to find number of vertices.

Using Euler's formula:

`v-e+f = 2`

Substitute the values we have;

`v-37+25 = 2`

⇒
`v-12 = 2`

Add 12 to both sides we have;

v = 14

Therefore, the number of vertices = 14

Answer 2

Euler formula is a formula created by the famous mathematician, Leonhard Euler which establishes the relationship between the trigonometric functions and the complex exponential function. According to the rule, the vertices +faces - edges = 2

V + 25 - 37 = 2

V then is equal to 14