Math
Triangular Pyramid Formula  Volume & Surface Area of a Triangular Pyramid
Table of Contents
What is Triangular Pyramid?
Have you seen a real pyramid in life? Think of great pyramids of Egypt once and you will recall the concepts yourself. A pyramid is a threedimensional shape here with
Here, the triangular sides are named as faces and the bottom polygon is recalled as base of the pyramid. The number of sides for a pyramid would be equal to the total number of sides or triangular faces of a pyramid. The common point where all triangular faces meet is called the Apex.
Triangular Pyramid Formula
A pyramid could be any polygon as a base, hence the structure of base is not fixed here. Let us take an example where base is triangular. Since we know that a triangle has three sides then the triangular pyramid would have three triangular bases in that case. They are common in other areas too like architecture, art, designing or more.
\[\ Volume\;of\;a\;triangular\;pyramid=\frac{1}{3}Base\;Area\times Height\]
\[\ Surface\;area=Base\;Area+\frac{1}{2}Perimeter\times Side\;length\]
Now there are two more possible cases for the triangular pyramid. These are regular pyramid and nonregular pyramid. A regular pyramid has a base whose all three sides are equal in length and for a nonregular pyramid; the base has sides of different lengths. Further, you could calculate the volume or surface area for a triangular pyramid too. You have to use the triangular pyramid formula as given in mathematics. Volume for a pyramid could be defined as the total space occupied by the pyramid. And the surface area could be given as total area of all its faces and base combined.
Examples of Triangular Pyramid
Question 1: Find the volume of a triangular pyramid when base area is 9 cm^{2} and height is 4 cm ?
Solution:
Given,
Base area = 9 cm^{2}
Height = 4 cm

Math2 years ago
Surface Area of a Triangular Prism Formula & Volume of a Triangular

Math2 months ago
Average Rate Of Change Formula Made Simple

Math2 months ago
Math Formulas Made Simple: A StepbyStep Guide

Math2 years ago
Percentage Formulas  How to Calculate Percentages of a Number?

Math2 years ago
What is Integration? List of Integration by Parts Formulas

Math2 months ago
Algebra Formulas and Expression with Example

Math2 years ago
List of Pyramid Formula – Surface Area, Volume of Pyramid

Math2 years ago
Surface Area of a Rectangular Prism Formula & Volume of a Rectangular