yego.me
yego.me
💡 Stop wasting time. Read Youtube instead of watch. Download Chrome Extension

Volume of rectangular pyramids using cubes | Grade 7 (TX TEKS) | Khan Academy

less than 1m read
·Nov 10, 2024

We'll be exploring the volumes of rectangular pyramids today with cubes and rectangular prisms. This is a cube; all the sides are the same length. To find the volume of a cube, I can multiply the length by the width by the height. For example, if the length of the cube is five and all sides are the same, then to find the volume I would do 5 * 5 * 5 = 125 cm cubed.

I can break this prism into three rectangular pyramids that are all congruent. So now we have a cube that's actually made out of three rectangular pyramids, and we can see here that all of the rectangular pyramids are congruent. The base of each rectangular pyramid is a square. The square is the same size as one face of our cube, and they all have the same height.

Since all of these rectangular pyramids are congruent, they all have the same volume. To summarize so far, three congruent pyramids can form a cube, and the volume of one of the pyramids will be 1/3 the volume of the entire cube. This is true for all cubes, but what about other rectangular prisms where the sides have different lengths?

Mr. Wonderful Interviews Kamala Harris?
How More Efficient Fishing Can Protect the Ocean | National Geographic

More Articles

View All
10 TRUTHS YOU NEED TO ACCEPT ABOUT PEOPLE | STOICISM INSIGHTS
Every day, we encounter a sea of faces, each with a narrative that could fill volumes, but despite our close proximity, true comprehension of those around us is frequently just out of reach. What if I told you that behind the diverse manifestations of eve…
how to learn anything FAST and outsmart the competition
Imagine being able to dive into any subject, quickly grasp it, and master it like a pro. This kind of ultra-efficient learning might sound like a superpower, but there are people out there who seem to have cracked the code on how to absorb new information…
Genetics 101 | National Geographic
[Narrator] Genetics helps us understand the biological programming behind all life forms. But what exactly is the science of genetics? And what does its future hold? Genetics is the study of heredity. The expression of traits and how they are passed fro…
Michael Burry's Warning for the Index Fund Bubble in 2023
Do you happen to own index funds as a part of your stock portfolio? I do. My YouTube buddies do. My accountant does. Heck, even my old school friends do. Well, what if I told you the famous market tracking index fund might be fueling a massive stock marke…
This Tiny Beetle Is Devastating Forests in the Worst Outbreak Ever | Short Film Showcase
[Music] Not too long ago, I was really beginning to lose a lot of hope for her, for us. I was just seeing so many bad changes because they’re under attack. I became interested in nature before I could walk. I was out camping, obviously very low to the gro…
How Does A Carburetor Work? | Transparent Carburetor at 28,546 fps Slow Mo - Smarter Every Day 259
This is a carburetor, and this is a special 3D printed see-through carburetor. And this is a high-speed camera with a macro lens on it. You see where this is going. If you’ve ever cranked some type of lawn care product with a small engine on it, you have …