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Pyramids

Great Pyramids of Egypt

When we think of pyramids we think of the Great Pyramids of Egypt.

They are actually Square Pyramids, because their base is a Square.

Pyramid Outlined

Parts of a Pyramid

Pyramid Base and Apex
A pyramid is made by connecting a base to an apex

Types of Pyramids

There are many types of Pyramids, and they are named after the shape of their base.

  Pyramid Base  
Triangular
Pyramid:
Triangular Pyramid Triangle Details >>
Square
Pyramid:
Square Pyramid Square Details >>
Pentagonal
Pyramid:

Pentagonal Pyramid
Pentagon Details >>

... and so on ...

Area and Volume

Pyramid Area and Volume

The Volume of a Pyramid

1/3 × [Base Area] × Height

The Surface Area of a Pyramid

1/2 × Perimeter × [Side Length]
+ [Base Area]

 

 


Explanation of Surface Area

The Surface Area has two parts: the area of the sides (the Lateral Area) and the area of the base (the Base Area).

The Base Area depends on the shape, there are different formulas for triangle, square, etc. See Area for formulas, or our Area Calculation Tool

But the Lateral Area is surprisingly simple. Just multiply the perimeter by the side length and divide by 2. This is because the sides are always triangles and the triangle formula is base times height divided by 2

Right vs Oblique Pyramid

This tells you where the top (apex) of the pyramid is. If the apex is directly above the center of the base, then it is a Right Pyramid, otherwise it is an Oblique Pyramid.

Right Pyramid Oblique Pyramid
Right Pyramid Oblique Pyramid

Regular vs Irregular Pyramid

This tells us about the shape of the base. If the base is a regular polygon, then it is a Regular Pyramid, otherwise it is an Irregular Pyramid.

Regular Pyramid Irregular Pyramid
Regular Pyramid Irregular Pyramid
Square Irregular Ploygon
Base is Regular Base is Irregular