Three Dimensional Shapes

Geometry is one of the practical section 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 is about the objects of three-dimensional shapes such as cylinders, cubes, spheres, etc. Here we will discuss a few fundamental elements of the solid geometry – the three-dimensional shapes.

What are Three-Dimensional Shapes?

The 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 different from 2D shapes because they have thickness. A number of examples can be found in everyday life. Some of them are:

Dimensional - Three Dimensional Shapes

Three Dimensional Shapes

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.

Dimensional - Three Dimensional Shapes

Let us consider a few shapes to learn about them.

Cube

Cube

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

Cuboid

Cuboid

  • 8 vertices
  • 12 edges
  • 6 faces

Prism

Prism

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

Square Pyramid

Square Pyramid

  • 5 vertices
  • 8 edges
  • 5 faces

Cylinder

Cylinder

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

Cone

Cone

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

Sphere

Sphere

  • No vertex
  • No edges
  • 1 curved face

Learn more about the three-dimensional shapes and solve NCERT problems with solutions by downloading BYJU’S – The Learning App.


Practise This Question

To level the cricket batting pitch, we use a roller. The roller resembles which of the geometrical shapes?