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?

10 Ways to AutoPilot Wealth Creation (The Truth)
The Only Dog Still Alive From The 90s

More Articles

View All
Fishing Tips: How to Reel in a Fish | Wicked Tuna: Outer Banks
My name is Jennifer Super Chesky, the first mate on the Hot Tuna, and I’m going to show you how to properly reel in a bluefin tuna. First off, as soon as I usually hit, they’re gonna start peeling line off their cell phone and running. Running, if lines …
General multiplication rule example: dependent events | Probability & combinatorics
We’re told that Maya and Doug are finalists in a crafting competition. For the final round, each of them will randomly select a card without replacement that will reveal what the star material must be in their craft. Here are the available cards. I guess …
The World in UV
Hey, you look purple! I guess I should come clean. Can you smile for me? Eating my two front teeth are fake. Oh my god, they’re purple! And fake teeth look different than real teeth in the ultraviolet. That’s crazy! [Music] [Applause] [Music] At first g…
Strike First, Strike Hard, No Mercy | The Philosophy of Cobra Kai
It’s not just to reignite his old passion for karate and to avenge his old nemesis, Daniel LaRusso. One of the reasons why Johnny Lawrence re-opens his old dojo, Cobra Kai, is that he believes that by doing so, he can give today’s youth exactly what they …
Scott Cook - Founder and Chairman of the Executive Committee, Intuit | Khan Academy
All right, I think we’re ready to start. Anyone who wants to—anyone else wants to join us for the talk with Scott Cook, founder of Intuit? So I’ll just start. You know, for everyone here at Khan Academy who doesn’t know both Scott and Cigna Cook are, you …
Go with what you can get started on most quickly. And get that first user.
Here’s a question: I have lots of startup ideas. How do I choose the one to work on? Uh, common problem. There’s too many choices; there’s lots of choices in the world. You don’t know what to focus on. You know, there’s different algorithms you can use.…