Volume of a pyramid

A pyramid is a shape that we see around us and study in geometry or mathematics. A pyramid is also known as a polyhedron. The combination of the apex and polygonal base forms the pyramid. When we determine the number of units occupied by the pyramid, that is considered the volume of the pyramid. Generally, there are various pyramids, but mainly what we should focus on there are four types of pyramids, which are important. Those four types are the Triangular pyramid, square Pyramid, pentagonal pyramid, and hexagonal pyramid. We shall determine the volume of the pyramid in this article and will know something more about the pyramid. 

The volume of the Pyramid: 

Firstly we should know the dimensions of the pyramid. So mainly, there are three dimensions in the pyramid, which you will observe whenever you are about to determine the volume of a pyramid formula, then either it is a triangular pyramid, square Pyramid, pentagonal pyramid, or hexagonal pyramid. So the dimensions you should keep in mind while calculating or determining the volume of a pyramid are the height of the pyramid, the base length of the pyramid, and the apothem length of the pyramid. These three dimensions are very important for calculating the volume of the pyramid. There are abbreviations for these dimensions, so we should know about them also; otherwise, we’ll be confused. So usually, the apothem length of the pyramid is denoted by the alphabet “a.” The pyramid’s height is denoted by the alphabet “h,” and the base length of the pyramid is denoted by the alphabet “b.” Now we shall determine the formulas for the volume of different pyramids. 

The volume of the Triangular Pyramid:

Firstly we shall determine the formula for calculating the volume of the triangular pyramid. 

The volume of the triangular pyramid is (1/6×abh). 

Where the value A is equal to the apothem length of the pyramid. 

Where b is equal to the base length of the pyramid and h is equal to the pyramid’s height. 

The volume of the Square Pyramid: 

Now we shall discuss the formula for calculating the volume of the square Pyramid. The volume of the square pyramid is equal to the (1/3×b^2×h). 

Here also, b is equal to the base length of the pyramid, and h is equal to the pyramid’s height. By this formula, we can calculate the volume of the square Pyramid very easily. 

The volume of the Pentagonal pyramid: 

Now it’s time to determine the formula for evaluating the volume of the Pentagonal pyramid. 

The formula for evaluating the volume of the Pentagonal pyramid is (5/6×abh).

 Here also, a denotes the apothem length of the pyramid, while b denotes the base length of the pyramid, and he signifies the pyramid’s height. You can calculate the volume of the Pentagonal pyramid easily. 

The volume of the hexagonal pyramid: 

A hexagonal pyramid is also a type of pyramid. We have discussed the formulas for calculating the volume of the different pyramids like triangular, square, and pentagonal pyramids. We shall discuss the formula for determining the volume of the hexagonal pyramid. The formula for determining the hexagonal pyramid is (ABH). Yes, it is so simple. You can memorize it very easily. Here also a is denoting the apothem length of the pyramid, b is signifying the base length of the pyramid, and his mentioning the height of the pyramid. 

About the Pyramid: 

In simple words, a pyramid is a shape that is triangular from the outer surfaces, flat from the base, and converges to a single point. There should be at least three triangular outer surfaces in the pyramid. The pyramid’s base can be altered by the presence of several triangular outer surfaces in the pyramid. There can be more than three triangular surfaces in a pyramid. In history, several burial places are like pyramids in shape. So pyramid shape has been in use since ancient times. It is said that first of all, there were Egyptians who designed the pyramids. 

The volume of Pyramid Formula

Allow us to consider a pyramid and crystal every one of which has a base region ‘B’ and stature ‘h’. We realise that the volume of a crystal is acquired by increasing its base by its stature. i.e., the volume of the crystal is Bh. In the prior segment, we have seen that the volume of a pyramid is 33% of the volume of the comparing crystal (i.e., their bases and statutes are consistent). Accordingly,

The volume of pyramid = (1/3) (Bh), where

B = Area of the foundation of the pyramid

h = Height of the pyramid (which is additionally called “elevation”)

Conclusion: 

We have discussed the volume of the square pyramid, the volume of the pyramid in this article. Usually, we study the shape of the pyramid, the pyramid’s volume, and the pyramid’s dimensions in geometry. Pyramids are of several types. We have discussed the four types of pyramids. We have discussed the formulas for determining the volume of different pyramids. I hope this article will help you understand the volume and basic details of the pyramid. If you are a student of geometry or mathematics, you should memorise the formulas for calculating the volume of the pyramid.