[Maths Class Notes] on Volume of a Pyramid Formula Pdf for Exam

If we connect a polygon base with a random point, a geometrical polyhedron will be formed. It is known as a pyramid. The total space occupied by any three-dimensional solid or pyramid is said to be the volume of a pyramid. Generally, cubic units are used to measure volume. Hence, units of all the computational terms need to be equal before computing the volume. The volume of a pyramid formula is one-third times the height of the pyramid multiplied by the base area. Here, we will learn to compute the volume of a square pyramid.

(Images will be uploaded soon)

Volume Formula for Different Types of Pyramid

Below we have the formula for the volume of different types of pyramids which has been derived from the basic formula itself.

• Volume of a Rectangular Pyramid:

(1/3) × (height) × (length of the base) × (width of base)

• Volume of a Triangular Pyramid:

(1/6) × (pyramid’s apothem length) × (length of pyramid’s base) × (height)

• Volume of a Square Pyramid:

(1/3) × (height) × (length of pyramid’s base) × (length of pyramid’s base) or (1/3) × (height) × (length of pyramid’s base)²

• The Volume of a Hexagonal Shaped Pyramid:

(pyramid’s apothem length) × (length of pyramid’s base) × (height)

• The Volume of Pentagonal Shaped Pyramid:

(5/6) × (pyramid’s apothem length) × (length of pyramid’s base) × (height)

Conclusion

With proper conceptual understanding, the volume of a pyramid formula can be easily calculated. Besides on a lighter note, from now onwards if you are planning to visit Egypt, you know how exactly one can calculate the volume of a pyramid. All you need to do is measure some parameters.