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?

See Why the Mysterious Mountain Lion Is the ‘Bigfoot’ of Big Cats | Short Film Showcase
Risk.

More Articles

View All
Time dilation | Special relativity | Physics | Khan Academy
[Voiceover] So let’s revisit a scenario that we have seen in several videos, especially the last video, where we tried to find this neutral frame of reference. Let’s say we’re in spaceship A. We are in an inertial frame of reference. And let’s say right…
New Orleans Mayor Mitch Landrieu On Why Confederate Monuments Were Taken Down | National Geographic
I went and said to me one morning, “I want you to think about something.” I said, “What about these statues, man? We need to do something special. That statue of Li, there’s no reason for them never to have a statue in the waters even win anything.” I th…
Meet Kim, one of the creators of Khan Academy's AP US History lessons
I’ve been working on the U.S. history content here for more than two years now, and we have a team of experts who’ve been in the classroom for many years who have advanced degrees in U.S. history, who really rigorously write, tape, and edit each other’s w…
The presidential incumbency advantage | US government and civics | Khan Academy
What we’re going to do in this video is talk about the incumbent advantage. This is the idea that the person who is already in power, the incumbent, has an advantage in elections. In particular, we’re going to focus on presidential elections, although thi…
Telling History: Behind the Scenes | Killing Reagan
What we strove to do, what any filmmaker should strive to do when they’re doing a period piece, is to be authentic and to be absolutely real. “Get out of here, Road’s okay! Stage Coach rolling! The crow that stage Co are you hit!” “Damn it, Jerry! I thi…
Calculating Gravitational Attraction
Most people recognize that the gravitational force attracts them towards the Earth and keeps them stuck on the planet. But the gravitational force does so much more than that; it attracts any object with mass towards any other object with mass. So, for e…