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# Volume through decomposition

Explore the concept of finding the volume of complex shapes by decomposing them into simpler, non-overlapping rectangular prisms. Understand the additive nature of volume and demonstrates how to calculate the volume of each prism separately before adding them together for the total volume.

## Want to join the conversation?

• imagine using khan academy in 2022,(plz up vote my comment so every one can see it, thanks)
• imagine cant be me
• If common sense is so common, why do so few people have it?
• how dare you
• I freaked out when I got an irregular shape homework but after I watched this video, I did perfectly on it. Before the video, I thought that I had to add the numbers together but when I watched the video, I understood that I had to break the irregular shapes apart and multiply the length,width, and height to get the volume and add both of the shape’s volume to get the answer.
• Does the order I multiply the width, height and depth matter to find the volume?
• No, the order of multiplication of width, height, and depth does not matter, because multiplication is commutative and associative.

Have a blessed, wonderful day!
• Okay.

Sometimes you want to know how much space a 3d shape takes up. Now maybe you know how to figure out how much space a box takes up, or a pyramid, or a cylinder or something - but then somebody gives you some weird L-shaped thing! What do you do?

Well, you can look at the weird object, and realize that it's kind of like if you stuck two boxes together. And if you can figure out how big those boxes are, you can just figure out their volumes, add those volumes together, and you've got the volume of the bigger object.

It's about taking a big problem and breaking it into smaller problems that you can solve easier.
• i dont understand this stuff its really hard
• just multiply length times height and widith
• I still don't get it and why so many steps.