How to find volume and surface area of pyramids

In this note, you will learn:

· What are pyramids?

. Volume and surface area of pyramids

· Application questions involving volume and surface area of pyramids



Today, we will be learning about pyramids. Pyramids exist all around us, from man-made architectures to everyday objects that we are used to seeing. So, without further ado, let’s begin!



What are pyramids?




Based on geometrical terms, a pyramid is a polyhedron (a three-dimensional shape with flat polygonal faces, straight edges and sharp corners or vertices) formed by connecting a polygonal base and a point called the apex or vertex.



Note: A polygon is essentially a plane figure that is made up of a finite number of straight-line segments (at least three and above) connected to form a closed polygonal chain.



The number of straight-line segments is typically five or more, because we know that a three-sided polygon is called a triangle, and four-sided polygon is either called a rectangle or a square.



How to find volume of pyramid?


The general formula to find the volume of a pyramid is:


V = 1/3 l w h OR V = 1/3 X Base Area X Height


where V is the volume of the pyramid, l is the base length of the pyramid, w is the base width of the pyramid and h is the height of the pyramid



How to find the surface area of pyramid?


The general formula to find the surface area of a pyramid is: