Video

Volume through decomposition (Full video)

Khan Academy
Supporting grades: 5

Description: Sal finds the volume of an irregular 3D figure by breaking the figure into 2 rectangular prisms and finding the volume of each part. So what I'm gonna do is, in fact most of the reasonable ways to do this would be to break it up into two rectangular prisms, and the ones that jump out at me is one prism like this that is three centimeters wide, five centimeters high, and then it is seven centimeters long, or seven centimeters deep. And if this part right over here was transparent you would see it look just like this. So this blue part right over here, this blue rectangular prism, has a volume of 105 cubic centimeters.

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