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?

Her Parents Made the Ultimate Sacrifice for Democracy—She Continues the Fight | Short Film Showcase
What Science Tells Us About Living Longer | Podcast | Overheard at National Geographic

More Articles

View All
How to learn any language by yourself- Language tips from a polyglot
Therefore today I have an ultimate guide for learning a language at home. So step one is obviously picking a language. When it comes to picking a language, it’s important to pick a language that you enjoy because if you don’t enjoy that language, it’s go…
The Moon Terminator Illusion
Hey, Vsauce. Michael here. This is called the dolly zoom effect, and the optics that make it possible are also responsible for what’s called the moon terminator illusion. A terminator is the line between an illuminated and dark side. Light arrives perpend…
Stare decisis and precedent in the Supreme Court | US government and civics | Khan Academy
As we’ve talked about in many videos, the United States Supreme Court has a very different role than the executive or the legislative branches. The executive branch, of course, runs the government. The legislative branch, they make the laws and set the bu…
AC analysis superposition
So in the last video, we talked about Oilers formula, and then we showed the expressions for how to extract a cosine and a sine from Oilers formula. We have a powerful set of expressions there for relating exponentials to sine waves. Now, I want to show …
Multiplying whole numbers by 10 | Math | 4th grade | Khan Academy
Multiplying by 10 creates a really neat pattern with numbers, so let’s try a few out and see if we can discover the pattern. Let’s try to figure it out. We’ll start with one that maybe we already know. Let’s start something like 2 * 10, and maybe we know …
Stopped Paying Mortgage | The 2020 Real Estate Collapse
What’s up you guys? It’s Graham here. So, I wanted to cover one of the most requested topics here in the channel over the last month. Besides the giant murder hornets coming to the United States. Really quick, have you seen these things? They’re massive! …