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?

Adventurers Jim & Tori Baird on their son’s FOXG1 diagnosis, life in the wild | National Geographic
We Traveled Back in Time. Now Physicists Are Angry.

More Articles

View All
Should Airships Make A Comeback?
Airships seem like a bad idea. Exhibit A. (bright upbeat music) It’s the greatest of miracles that anyone came out of the disaster alive. The Hindenberg was filled with over 200 million liters of hydrogen, but it also had an iron oxide and aluminum powd…
Why I Stopped Holding Cash
What’s up, Graham? It’s Guys here, and I want to talk about something rather concerning that’s been brought up a lot lately on my channel, and that has to do with this statement here: “25% of all US dollars were created in 2020.” Now, usually, it’s easy …
Identifying a sample and population | Study design | AP Statistics | Khan Academy
Administrators at Riverview High School surveyed a random sample of 100 of their seniors to see how they felt about the lunch offerings at the school’s cafeteria. So, you have all of the seniors; I’m assuming there’s more than a hundred of them. Then the…
Horrific Freefall into the Deepest Ocean | The Sad Story of Flight 447
What’s happening? I don’t know what’s happening. We’re losing control of the aircraft here! We lost all control of the aircraft! What you’re witnessing is the beginning of one of aviation’s greatest mysteries: a top-notch aircraft, an experienced crew, a…
Biotic and abiotic factors in Earth’s natural systems | High school biology | Khan Academy
This right over here is a picture of Earth. Not likely a surprise for most of y’all, but we’re going to talk about in this video and future videos is how we can view Earth as a system. Many of y’all might be familiar with the term system; we talk about sy…
Adding 3-digit numbers (no regrouping) | 2nd grade | Khan Academy
[Voiceover] So I have two numbers here that I wanna add together. The first number is 327, and that means three hundreds. I have a three in the hundreds place. You see them right over here. You see the three hundreds, each of these big squares have a hund…