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?

Should I Use a Dev Shop? - Michael Seibel
Path of Stoicism: How to become a Stoic in the Modern World

More Articles

View All
Kevin Hale and Adora Cheung - Startup School 2019 by the Numbers
Hello Berlin! We’ve made it to week ten. This is the last stop on the startup school tour. We have something kind of special today. So Adora and I are doing a presentation together, and it’s all based on numbers from the last nine weeks of startup school.…
Kevin O'Leary Gets Triggered
Refused to spend money on two things. Number one, I think everyone knows, is, uh, coffee. I think it’s absolutely ridiculous the markup of coffee at Starbucks and Coffee Bean and a lot of those places out there. So I just make it home for 20 cents. I lov…
Hands off My Phone! (An ELA audio drama)
[Music] [Applause] Oh no, he didn’t! That is so harsh. Hey, your dad took your phone away just for getting a D on the history test? Yup, my mind is blown. Mine too! I mean, that was an easy test. What? I can’t believe you got a D! Hey, that’s not really……
Z-score introduction | Modeling data distributions | AP Statistics | Khan Academy
One of the most commonly used tools in all of statistics is the notion of a z-score. One way to think about a z-score is it’s just the number of standard deviations away from the mean that a certain data point is. So let me write that down: number of stan…
Breaking Down HackerRank's Survey of 40,000 Developers with Vivek Ravisankar
All right, the Veck, why don’t we start with what you guys do, and then we’ll rewind to before you even did YC? Yes, sure! I’m S. V. Ivent, one of the founders and CEO of HackerRank. Our mission at HackerRank is to match every developer to the right job,…
How To Become A Metaverse Millionaire In ONE Year (My Plan)
The best way to understand the metaverse is to experience it yourself. Alright, so let’s talk about the metaverse because this could be big, not only as a way to make a lot of money but also in terms of how all of our future experiences could be right her…