Finding a volume by evaluating triple integrals

 Goal: Find the volume of a solid using a triple integral.

Just as we used a double integral to find an area, we are going to use a triple integral to find a volume.

In the case of an area, we used the formula:

In the case of the volume, we are going to use:

Let's do an example:

Example

Solution

The volume of the pyramid is then 4/3 cubic feet.