What is a Pyramid?
A pyramid is defined as a three-dimensional structure encompassing a polygon as its base. Every corner of a pyramid is linked to a single apex which makes it appear as a distinct shape. The edge of each base and it’s top makes a triangle.
Types of Pyramid
There are different types of pyramids that are named based on the shapes of their bases. These different pyramid types include the following:
- Triangular Pyramid
- Square Pyramid
- Pentagonal Pyramid
- Right Pyramid
- Oblique Pyramid
The base of this pyramid has a shape of a triangle, therefore we call it as a triangular pyramid.
The base of this pyramid has a shape of a square, therefore we call it as a Square Pyramid.
The base of this Pyramid has a shape of a Pentagon, therefore we call it as a Pentagonal Pyramid.
This apex of this pyramid is exactly over the middle of the base, hence named as Right Pyramid.
The apex of this pyramid is not exactly over the middle of its base and named as Oblique Pyramid.
Regular vs Irregular Pyramid
To distinguish between regular and irregular Pyramid, you need to consider the shape of the base. If the base of a polygon is regular, it’s labelled as Regular Pyramid, else it is considered as Irregular Pyramid.
Note: Base is Regular
Note: Base is Irregular
To find out the surface area and some formulas can be used. The surface area of a pyramid is the total area of all the surfaces that the pyramid has. Formulas to find out the surface area of a pyramid.
S A = (base area) + (1/2) × (perimeter) × (slant height)
The base area is the area of the base of a pyramid that can be calculated on the basis of figure type. To calculate the triangular pyramid volume, the formula to compute it is given by:
Volume = 1/ 3 × (Base Area) × height
You can also visit the pyramid formulas page to learn more about the volume and surface area of different pyramids. The lesson provides all the surface and volume formulas along with solved examples.
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