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?

I Just Lost $1.5 Million In Stocks
Charlie Munger: How to Get Rich During Inflation

More Articles

View All
Stonehenge Has a Traffic Problem | Podcast | Overheard at National Geographic
It’s June 2021 at Alice Zoo, this National Geographic photographer. She’s in a field in rural England. It’s this gray, overcast English morning. It was still totally dark when we arrived. There were kind of a few other figures quietly making their way in …
Everest Biology - Life is on the Rise | National Geographic
[Music] Mountainous environments are living laboratories to study environmental change. We’re up here to document whether species are moving upward. What we’re finding in mountainous environments is that species, from plants to animals to insects, are ac…
Why Do We Laugh?
I was having dinner with two friends recently. They’re a couple, but as we sat down to eat, I could tell there was tension between them. They weren’t speaking to each other for the first 10 minutes of the meal and gave short answers to all my questions. A…
2-Hour Study With Me📚 6AM EDITION⏰[Chill Lo-Fi Music🎧](50/10 Pomoro🍅)
[Music] So [Music] [Music] just [Music] don’t stop [Music] let me explain something [Music] [Music] my [Music] you [Music] so [Music] so [Music] so [Music] so [Music] so [Music] foreign [Music] [Music] so [Music] so [Music] [Music] so [Music] [Music] so […
How Do You Photograph One of the World's Most Beautiful Places? | Nat Geo Live
Few years ago, I was called into a meeting—a lunch meeting—and you know, the Geographic told me we’re gonna do this whole issue special on the Greater Yellowstone Ecosystem. And I was asked to become one of the team. And it’s, you know, it’s 50,000 squar…
Just Because You Think It, Doesn’t Mean It’s True
When Seneca the Younger was accused of adultery with the emperor’s niece, he was banished to Corsica. Seneca’s exile caused his mother, Helvia, tremendous grief; she had difficulties coping with her son’s absence. So, he wrote her several letters in which…