Triple Integrals in Cartesian Coordinates | Volume between Surfaces

We can use triple integrals as another method to find the volume of a region. In this example we have a top surface and a bottom surface, two different parabaloids. We write a triple integral that computes the volume between these surfaces. This works much as it did with double or even single integrals. We choose one "nice" direction to integrate first, then the second, then the third. The hardest part is setting the limits of integration appropriately.

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This video was created by Dr. Trefor Bazett. I'm an Assistant Teaching Professor at the University of Victoria.

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