Pyramid

What is a Pyramid?

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 its top makes a triangle.

Pyramid

Types of Pyramid

There are different types of pyramids that are named  based on the shapes of their bases.

Pyramid

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

Pyramid

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

Pyramid

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

Pyramid

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

Pyramid

5. Oblique pyramid – The apex of this pyramid is not exactly over the middle of its base and named as 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, its labeled as Regular Pyramid, else it is considered as Irregular Pyramid.

Regular Pyramid

Pyramid
Pyramid

Base is Regular

IrregularPyramid

Pyramid

Pyramid

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 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 x [Base Area] x height

You can visit a separate page for volume of the pyramid, that provides all the surface and volume formulas along with solved examples.

To refer more and solve work on Pyramid maths problems prism, you can visit www.byjus.com


Practise This Question

ColumnAColumnB1.Areaa.67m2.Perimeterb.Rs.6/m23.Cost per m2c.100m2d.Rs.6m2e.100/m2

Which of the following options show the correct match of parameters in column A with possible values in column B?