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?

Limitless with Chris Hemsworth | Official Trailer | Disney+
How Society Is Making Us More Scared Than Ever

More Articles

View All
Multivariable chain rule and directional derivatives
So in the last video, I introduced the vector form of the multivariable chain rule. Just to remind ourselves, I’m saying you have some kind of function f, and in this case, I said it comes from a 100-dimensional space. You might imagine, well, I can’t im…
Earthships: A House Made From Beer Cans Sparks a Movement | Short Film Showcase
People look at this and call it a Mad Max compound. What the heck? These people live like this and a bunch of dirty hippies that don’t know how to clean up the land. Wow, it’s weird. They call it trashy. The world is not going to build weird houses, but y…
Principal-Agent Problem: Act Like an Owner
We spoke earlier about picking a business model that has leverage from scale economies, network effects, zero marginal cost of replication. But there were a few other ideas on the cutting room floor that I want to go through with you. The first one was t…
The Hindu Interpretation of Creation | The Story of God
In the beginning, Hindus believed Ganga flowed in the heavens, but she was held captive by the creator god Brahma. Then Brahma decided to send the river Ganga down to Earth, but there is one problem: Ganga has got such mighty floods, and if she comes on E…
Reham Fagiri and Kalam Dennis at Startup School SV 2016
Welcome back! So, uh, it was an amazing morning. Um, and one of the questions I get asked a lot is, how can we fund both, uh, 10-minute meal kits and quantum computers at the same time? Uh, our secret is that we have a simple focus, which is that we fund …
Why you should stop "improving" yourself
Hello! Look at these cookie cutter suburban households that looks so pretty. Good fantastic evening! All right, let’s film this video. All right, okay, okay. So I shaved my head; I think it looks a lot better, to be honest. I was really postponing that. …