Count vertices, edges, and faces

  • Vertex (Vertices) – A corner where edges meet.
  • Edge – A straight line where two faces meet.
  • Face – A flat surface of a 3D shape.

ShapeVerticesEdgesFaces
Cube8126
Rectangular Prism8126
Pyramid (square base)585
Triangular Prism695
Cylinder023
Cone112
Sphere001

  • Vertices are points, like the corners of a box.
  • Edges are lines, like the sides of a box.
  • Faces are flat parts, like the top, bottom, and sides of a box.
  • 3D shapes are made up of these parts.

  • Use your fingers or draw dots at each vertex to count.
  • Trace edges with a pencil or finger.
  • Count the flat surfaces (faces) one by one.

  • Build 3D shapes using toothpicks and clay.
  • Use real-life objects like boxes, cans, or balls.
  • Create a 3D shape chart in class.

Learn with an example

___  faces

Faces are the flat parts of the shape. Here is a face.

Count the faces.

Start with the two opposite faces.

Next, go around the shape.

The shape has 6 faces.

_____  faces

Faces are the flat parts of the shape. Here is a face.

Count the faces.

Start with the two opposite faces.

Next, go around the shape.

The shape has 6 faces.

____ faces

Faces are the flat parts of the shape. Here is a face.

Count the faces.

Start with the two opposite faces.

Next, go around the shape.

The shape has 6 faces.

let’s practice!