# Euler's Formula Calculator

Cuemath's Discount Calculator is a free online tool that helps to calculate the number of faces, number of vertices, and number of edges.

## What is Euler's Formula Calculator?

Cuemath's online discount calculator helps you to calculate the number of faces, number of vertices, and number of edges within a few seconds.

NOTE: Enter the inputs upto 2 digits only.

## How to Use Euler's Formula Calculator?

Please follow the below steps to find the number of faces, number of vertices, and number of edges:

**Step 1:**Enter the number of faces, number of vertices, and number of edges in the given input box.**Step 2:**Click on the**"Calculate"**button to find the number of faces, number of vertices, and number of edges.**Step 3:**Click on the**"Reset"**button to find the number of faces, number of vertices, and number of edges for different values.

## How to Find Euler's Formula?

Euler's formula is defined as the number of vertices and faces together is exactly two more than the number of edges.

It is symbolically written** F+V=E+2**, where

F is the number of faces, V the number of vertices, and E the number of edges. This only applies to polyhedra. The number 2 in the formula is called Euler's characteristic.

**Solved Example:**

Using Euler's formula, find the number of vertices if the numbers of faces are 6 and the number of edges is 12?

**Solution:**

Using Euler's formula, F+V=E+2

6 + V = 12 + 2

6 + V = 14

V = 8

Therefore, number of vertices are 8.

Similarly, you can try the calculator to find the number of faces, number of vertices, and number of edges

1) Find the number of faces if the numbers of vertices are 6 and the number of edges is 9?

2) Find the number of edges if the numbers of vertices are 9 and the number of faces is 22?