Vertices, Edges And Faces - Math Is Fun

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Vertices, Edges and Faces

Vertex, Edge and Face A vertex is a corner. An edge is a line segment between faces. A face is a single flat surface.

Let us look more closely at each of those:

Vertices

Vertex

A vertex (plural: vertices) is a point where two or more line segments meet.

It is a Corner.

This tetrahedron has 4 vertices.

And this pentagon has 5 vertices: Pentagon vertices

Edges

Pentagon edges This Pentagon Has 5 Edges

For a polygon an edge is a line segment on the boundary joining one vertex (corner point) to another.

Edges This Tetrahedron Has 6 Edges

For a polyhedron an edge is a line segment where two faces meet.

Faces

Faces

A face is any of the individual flat surfaces of a solid object.

This tetrahedron has 4 faces (there is one face we can't see)

Sides

"Side" is not a very accurate word, because it can mean:

Sides

  • An edge of a polygon, or
  • A face of a polyhedron

Euler's Formula

For many solid shapes the

  • Number of faces
  • plus the number of vertices
  • minus the number of edges

always equals 2

This can be written: F + V − E = 2

To find out more about this read Euler's Formula.

cube

Try it on the cube:

A cube has 6 faces, 8 vertices, and 12 edges, so:

6 + 8 − 12 = 2

Try counting them here, remember to count the ones you can't see! Box with vertices, edges and faces

4994, 4995, 385, 2564, 372, 386, 390, 391, 2479, 2563 Platonic Solids Geometry Index

Tag » What Are Vertices Of A Triangle