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Volume of a pyramid

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Volume of a pyramid

How do you find the volume of a pyramid. The formula equals 1/3 x base x height. There are two important points to remember when finding the volume of a pyramid.

First, the formula for finding the base will vary according to the shape of the base.

Here is a helpful link for a list of most base area formulas.

Second, the height is actually the altitude of the pyramid.

This video goes over all of the formulas you will need and works two sample problems involving finding the volume of a pyramid.

Video Guide

Use the formula 1/3base area times height in order to find the volume of a pyramid.

The video explains how you first find the base area and then the height of the pyramid and add these together and you have the volume Video Guide 00:09 What is a pyramid? 00:33 Difference between a pyramid and a prism 00;42 Volume of Pyramid formula 01:06 Looking at pyramids with different bases and the different base area formulas 02:31 Sample problem-Finding volume of a pyramid with a square base 03:08 Sample problem- Finding volume of a pyramid with a right triangle base

For more on volume of a pyramid see http://www.moomoomath.com/Volume-of-a-Pyramid.html

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Volume of a pyramid

Volume of a pyramid

Volume of a pyramid video

What is a pyramid? A pyramid is a three dimensional figure that has a base and an apex which you can think of as a point.

The formula for volume equals 1/3 * base * height

The base area will depend on the shape of the base.

For example if the shape of the base is a square you would just multiple length times width

If the shape is a triangle you would take ½ base * height to get the base and then multiply this by the height of the triangle.

Check here for a list of base area formulas.

Problem 1. Find the volume of a pyramid with a square base that has a side of 4 units and a height of 5 units.

  Step 1. Find the base area 4 * 4 = 16 units

Step 2. Multiply base area times height = 16* 5 = 80 units

Step 3. Multiply this by 1/3 ( remember the formula is 1/3 * base * height = 1/3*80 = 26.6 units cubed

Problem 2. Find the volume of a pyramid with a triangle base with a base of 6 units and a height base of 8 units and a pyramid height of 7 units

        Step 1. Find the base area using the formula ½ base * height

Step 2. ½ * 6 * 8 = 24 units

Step 3. Find the volume using 1/3 * base * height3

Step 4. 1/3 * 24 * 7 = 8*7

Step 5. 8*7 = 56 units cubed