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?

More Articles

View All
Charlie Munger's New Warning for the 2023 Stock Market
I used to come to the Berkshire annual meetings on coach from Los Angeles, and it was full of rich stockholders, and they would clap when I came into the coach section. I really like that. Holly mentioned Warren Buffett’s right-hand man, the vice chairma…
5 Mistakes that RUIN your Credit Score
Once of you guys, it’s Graham here. So I’ve said it before and I’ve said it again, but building your credit is probably one of the most important things that you can do to improve your financial future. Not only can having a good credit score get the lowe…
YC SUS: Eric Migicovsky hosts founder office hours
Cool! I think so, yeah. Hi everyone, my name is Eric Michalski. Whoops! I just got a gift from Zune. My name is Eric Michalski. I’m a partner here at Y Combinator, and I’m the course facilitator for Startup School. Welcome to a new experiment that we’re g…
Request for Startups: Government 2.0 - Michael Seibel
Hello, my name is Michael Seibel and I’m the CEO of Y Combinator’s accelerator. Today, I’m here to introduce a new request for startups. Request for startups are a project that we do to inspire founders to apply to YC with new and interesting ideas. Toda…
Introduction to average rate of change | Functions | Algebra I | Khan Academy
So we have different definitions for d of t on the left and the right, and let’s say that d is distance and t is time. So this is giving us our distance as a function of time. On the left, it’s equal to 3t plus one, and you can see the graph of how distan…
YouTube changed my life (Started exactly one year ago today)
So you usually want to make a video. I’ll plan it out a little bit ahead of time, and I’ll make it like a format of what I’m gonna say and in what order, so don’t miss any points. Put a video like this, I figured it’s probably just best I just make a spu…