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?

Assignment: Reflections | National Geographic

Worked examples: Forms & features of quadratic functions | High School Math | Khan Academy

View All

The Entire History of The Universe in 10 Minutes

The entire universe, every electron, proton, atom, every star and galaxy, was born out of a singularity that brought about our whole existence: the Big Bang. An isolated moment in space and time created something out of nothing. We didn’t know much about …

The present tense | The parts of speech | Grammar | Khan Academy

Hello grammarians! Welcome to the present tense, or that which is happening right now. The present tense is how we talk about things that are happening in the present moment, like “I eat a donut.” If I say that, you know, if I say it that way, it means i…

Full speech from Kash Patel, FBI director nominee, makes promises after Donald Trump inauguration

[Music] My oh my, how do you follow Elon Musk when he tells you he’s going to take you to Mars? I’ll tell you how. He and I share something deeply; we love the American dream. And we have been given a gift by God today to usher in a new Dynasty because we…

Building a Marsbase is a Horrible Idea: Let’s do it!

From hostile deserts, to lonely islands and the highest mountains, wherever there is space to expand into, humans do so. So, it’s hardly surprising that we’re already making preparations to set foot on Mars and to create the first permanent colony outside…

Homeroom with Sal & Vas Narasimhan - Wednesday, July 8

Hi everyone! Welcome to our homeroom live stream. I’m very excited about the conversation we’re going to have in a few minutes. But before that, I will give my standard announcement: a reminder that Khan Academy is a not-for-profit organization with a mis…

Current market conditions in corporate aviation.

[Music] I was going to hit that peak next year. Do you expect the demand to remain? If you got that report just the other day, maybe it was delivered to you by horse, because that information is old and it’s not true. The industry probably hit its peak, …

Volume of rectangular pyramids using cubes | Grade 7 (TX TEKS) | Khan Academy

More Articles