Three Dimensional Shapes

Geometry is one of the practical sections of Mathematics which involves various shapes and sizes of different figures and their properties. Geometry can be divided into two types: plane and solid geometry. Plane geometry deals with flat shapes like lines, curves, polygons, etc., that can be drawn on a piece of paper. On the other hand, solid geometry involves objects of three-dimensional shapes such as cylinders, cubes, spheres, etc.

What are Three-Dimensional Shapes?

Shapes which can be measured in 3 directions are called three-dimensional shapes. These shapes are also called solid shapes. Length, width, and height (or depth or thickness) are the three measurements of the three-dimensional shapes. They are a part of three dimensional geometry. They are different from 2D shapes because they have thickness. A number of examples can be found in everyday life. Some of them are:

Faces, Edges, and Vertices

Three-dimensional shapes have many attributes such as vertices, faces, and edges. The flat surfaces of the 3D shapes are called the faces. The line segment where two faces meet is called an edge. A vertex is a point where 3 edges meet.

Solid Shapes in Maths

The three-dimensional objects having depth, width and height are called solid shapes.

Let us consider a few shapes to learn about them. You can find many examples of solid shapes around you. The mobile, notebook or almost everything you can see around is a solid shape.

How to Make 3d Shapes for Maths Project

Now that you know three-dimensional shapes are, it would be easy for you to build a 3d shape project for a house or a building. This would be easy for the students to make as they can measure the rooms easily. Rest all they need is cardboard, glue, scissors and art supplies to make it look exactly like a mini house or building.


  • All edges are equal
  • 8 vertices
  • 12 edges
  • 6 faces.


  • 8 vertices
  • 12 edges
  • 6 faces


  • 6 vertices
  • 9 edges
  • 5 faces – 2 triangles and 3 rectangles

Square Pyramid

  • 5 vertices
  • 8 edges
  • 5 faces


  • No vertex
  • 2 edges
  • 2 flat faces – circles
  • 1 curved face


  • 1 vertex
  • 1 edge
  • 1 flat face – circle
  • 1 curved face


  • No vertex
  • No edges
  • 1 curved face