Identification and Counting Of Vertices, Edges, Faces, Nets



A solid figure can be defined by the number and combination of certain parts. These parts are:

  • Faces
  • Edges
  • Vertices

These three parts are relevant to any solid that has flat surfaces, places where flat surfaces intersect and places where planes intersect.

A face is any flat surface. The flat surface that makes the front of this cube is called a face. Many solid figures have more than one face.

An edge is the line segment where two faces meet. You can see by looking at this cube that the faces intersect in a line. Many solid figures have more than one edge.

A vertex is a point where several planes meet in a point. The arrow here is pointing to a vertex of this cube. Many solids have more than one vertex, or many vertices.


How many edges, faces and vertices are there in this figure?

First, count the edges, which will be line segments.

There are 8 line segments, so there are 8 edges.

Next, count the faces, which will be flat surfaces or flat planes.

There are 5 flat planes, so there are 5 faces.

Then, count the vertices, which are points or corners where several edges or faces meet.

There 5 points, so there are 5 vertices.

The answer is, there are five vertices, five faces and eight edges.