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?

Being ruthless in business
Why I told one woman to leave her husband & make millions | Ask Mr. Wonderful #17 Kevin O'Leary

More Articles

View All
Generating Power on Mars | MARS: How to Get to Mars
So, power on Mars is going to be very important, and it will have to have the ability to run the microwave oven, along with the oxygenator and everything else that we’re going to need to survive. You need power; every civilization needs power. It’s what w…
15 Types Of People YOU NEED TO AVOID
It is not a strange thing to say that the type of people you surround yourself with have a significant impact on your life. After all, a lot of your time will be spent with them, and it is only natural that their habits and the things they say would affec…
How To Make Friends
Friends make life good. They provide the scaffolding that makes it not just bearable, but fun. They give us a sense of meaning and purpose and are a source of security, self-esteem, and happiness. Almost nothing predicts how happy you will be as how conne…
How to Throw an Atlatl | Live Free or Die: DIY
[Music] So this is the ATL, and this is what they call the dart. It predates the bow and arrow people. It’s really responsible for our survival as human beings. So this tool has been used for a longer duration than probably any other hunting tool that ma…
Why Four Cowboys Rode Wild Horses 3,000 Miles Across America (Part 3) | Nat Geo Live
10 years ago we had um 6 8,000 horses a year being adopted out and that number has plummeted to about 2500 a year. Part of it’s an awareness thing; part of it’s people don’t know horses. But I found one story um that really touched me. After the unbrande…
Interesting example of Aliasing
Okay, I stuck a moment without the kids to do this for you. I’m going to show you a principle called aliasing. Aliasing is when your sample rate of your measuring device is not fast enough to actually catch the true frequency of what’s happening, so you c…