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### Course: 6th grade foundations (Eureka Math/EngageNY)>Unit 5

Lesson 4: Topic D: Foundations

# 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?

• 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 still don't get it and why so many steps.
• What I'm doing is multiplying the length, width, and height of the two forms (it may be one). I'll find the volume by doing this. Next I'll add both the volumes together and find the volume of the irregular form.
• i dont understand this stuff its really hard
• just multiply length times height and widith
• I don't understand. But after the video I understand it a little
• I do not know what you are talking about can you help me more because I am only in 4th grade so I do not know this at all
• All you need is multiplication, you take the dimensions(length width and height) and multiply it together. For example, with a shape that is 2 inches tall, 5 inches wide, and 3 inches long, you would multiply 5x3 to get 15, then multiply 15 by 2 to get an answer of 30 cubic inches.
• Hey I don’t get it