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Mahalo math expert Allison Moffett shows you how to find the volume of a pyramid.
Find the Volume of a Pyramid
To find the volume of a pyramid, start with the standard equation V=(1/3)Ah, where V is volume, A is the area of the base and h is height from the base to the vertex.
For example, if you have a pyramid with a base of 10 and a height of five, plug those numbers into the formula to get V=(1/3)10 squared times five. Reduce that down to 500/3. You can simplify this into a decimal or you can leave it how it is.
Area of the Base
Pyramids can have different-shaped bases. Here are the formulas you may need to substitute for A:
- Circle: A=pi times radius squared
- Square: A=side squared
- Rectangle: A=length times width
- Triangle: A=half of the base times height
- Parallelogram: A=base times height
- Ellipse: A=pi times a times b
- Trapezoid: A=one half(a plus b) times height
References
Trash
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Introduction to Geometry 5:15
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All About Circles 10:21
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Angles and Triangles 11:08
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Classifying Angles 3:54
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Corresponding Angles 1:59
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Using The Interior Angle Theorem 1:12
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Classifying Triangles 1:41
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Equilateral Triangles 0:32
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Isosceles Triangles 0:38
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Obtuse Triangles 0:34
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Scalene Triangles 0:38
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How to Find the Area of a Triangle 0:00
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Working with Quadrilaterals 11:31
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Calculating Surface Area 1:10
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Finding Volume 13:42
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How to Calculate the Volume of a Sphere 0:00
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How to Find the Volume of a Cube 0:00
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How to Find the Volume of a Cylinder 2:28
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How to Find the Volume of a Cone 3:01
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How to Find the Volume of a Pyramid 2:40
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Beginner Volume Word Problem 0:53
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Intermediate Volume Word Problem 1:02
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Advanced Volume Word Problem 1:07
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Word Problem: Building a Patio 1:07
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Quiz: Find the Volume of a Sphere 0:00
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Quiz: Find the Volume of a Cylinder 0:42
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Quiz: Find the Volume of a Pyramid 0:42
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Meet Our Expert
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Allison Moffett
Mahalo math expert Allison Moffett holds a bachelor's degree in physics from the University of California, San Diego and a master's degree in mathematics from San Diego State University. She has spent years working as a math teacher and enjoys breaking down often complex processes into easily understandable and repeatable steps.
