Pyramid

What is a Pyramid?

A pyramid is defined as a three-dimensional structure encompassing a polygon as its base. Every corner of a pyramid is linked to a single apex which makes it appear as a distinct shape. The edge of each base and it’s top makes a triangle.

Pyramid

Types of Pyramid

There are different types of pyramids that are named based on the shapes of their bases. These different pyramid types include the following:

  • Triangular Pyramid
  • Square Pyramid
  • Pentagonal Pyramid
  • Right Pyramid
  • Oblique Pyramid

Triangular Pyramid:

The base of this pyramid has a shape of a triangle, therefore we call it as a triangular pyramid.

Triangular Pyramid

Square Pyramid

The base of this pyramid has a shape of a square, therefore we call it as a Square Pyramid.

Square Pyramid

Pentagonal Pyramid

The base of this Pyramid has a shape of a Pentagon, therefore we call it as a Pentagonal Pyramid.

Pentagonal Pyramid 

Right Pyramid

This apex of this pyramid is exactly over the middle of the base, hence named as Right Pyramid.

Right Pyramid 

Oblique Pyramid

The apex of this pyramid is not exactly over the middle of its base and named as Oblique Pyramid.

Oblique Pyramid

Regular vs Irregular Pyramid

To distinguish between regular and irregular Pyramid, you need to consider the shape of the base. If the base of a polygon is regular, it’s labelled as Regular Pyramid, else it is considered as Irregular Pyramid.

Regular Pyramid

Regular PyramidRegular Pyramid

Note: Base is Regular

IrregularPyramid

Irregular Pyramid

Irregular Pyramid

Note: Base is Irregular

Pyramid Formulas

To find out the surface area and some formulas can be used. The surface area of a pyramid is the total area of all the surfaces that the pyramid has. Formulas to find out the surface area of a pyramid.

S A = (base area) + (1/2) × (perimeter) × (slant height)

The base area is the area of the base of a pyramid that can be calculated on the basis of figure type. To calculate the triangular pyramid volume, the formula to compute it is given by:

Volume = 1/ 3 × (Base Area) × height

You can also visit the pyramid formulas page to learn more about the volume and surface area of different pyramids. The lesson provides all the surface and volume formulas along with solved examples.

Keep visiting BYJU’S and register now to keep learning more maths concepts in an engaging and effective way.


Practise This Question

Consider the following set
20y, 20, 15q, -25s, 25a, 12z, y
Which of the following represent the group of like term?