Identify three-dimensional figures

  • Three-dimensional (3D) figures have length, width, and height (or depth).
  • They are also called solid figures.

FigureFacesEdgesVerticesExample
Cube6 square faces12 edges8 verticesDice
Cuboid (Rectangular Prism)6 rectangular faces12 edges8 verticesBook, Box
Sphere0 faces0 edges0 verticesBall
Cylinder2 circular faces, 1 curved surface2 edges0 verticesCan
Cone1 circular face, 1 curved surface1 edge1 vertexIce cream cone
Pyramid (Square base)5 faces (1 square and 4 triangles)8 edges5 verticesEgyptian pyramid

  • Face: A flat or curved surface.
  • Edge: Where two faces meet (a straight line).
  • Vertex (plural: vertices): A corner where edges meet.

Students should identify 3D shapes in the real world, like:

  • Ball → Sphere
  • Cereal box → Cuboid
  • Birthday hat → Cone
  • Soup can → Cylinder

  • 2D figures are flat (like a square or circle).
  • 3D figures have depth and can be held or seen from different angles.

Learn with an example

  • sphere
  • cone

The shape is completely round. It has no flat surfaces.

This shape is a sphere.

  • sphere
  • cone

The shape is completely round. It has no flat surfaces.

This shape is a sphere.

  • sphere
  • cone

The shape has a pointy tip. This pointy tip is called a vertex.

Look at all the faces of the shape.

The shape has one face. It is a circle. The rest of the shape is curved.

This shape is a cone.

let’s practice!