Volume of a Pentagonal Pyramid
The volume of a pentagonal pyramid is the amount of space enclosed by it, and it is measured in terms of cubic units. The formula to find the volume of a pyramid is one-third the product of its base area and height. The formula to find the volume of the pyramid is given as follows:
V = (1/3) A × h cubic units
where,
- V is the volume
- A is the area of base
- h is the height
We know, Area of a pentagonal base is given by, (5/2) s × a, where “s” is the length of the side of a pentagon and “a” is its apothem length.
Now, the volume of the pentagonal pyramid (V) = 1/3 (5/2 × s × a) h cubic units
Therefore, the volume of the pentagonal pyramid becomes,
V = (5/6) ash cubic units
where
a is the apothem length
s is the base length
h is the height of the pyramid
Volume of a Pentagonal Pyramid
A pentagonal pyramid is a three-dimensional geometric figure that has a pentagonal base with five triangular faces that meet at a point. The meeting point is known as the apex, which joins the triangular faces and the pentagonal base. It has six faces (five triangular faces and a pentagonal base), six vertices, and ten edges.
Table of Content
- Pentagonal pyramid’s real-life applications:
- Volume of a Pentagonal Pyramid
- Types of Pentagonal Pyramid
- A regular pentagonal pyramid
- An irregular pentagonal pyramid
- A right pentagonal pyramid
- How to Find the Volume of the Pentagonal Pyramid?
- Solved Examples on Pentagonal Pyramid