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?

The Real Reason Robots Shouldn’t Look Like Humans | Supercut
Neil and Seth on the Science of Family Guy | StarTalk

More Articles

View All
Fish Wheel Harvest - Deleted Scene | Life Below Zero
[Music] I’ve had my fish whe running for a few hours now while I’ve been at home taking care of the dogs and doing some other chores. Coming back here, check it, see what I’m catching. This is a big thing for me because it’s going to relieve me financiall…
How the way you watch movies affects your life
So this may sound weird, but I promise it’ll start to make sense eventually. I sort of observed the other day that there are two different ways that people watch movies. The first group of people, they get home from work, they’re pretty tired, so they sit…
Endothermic and exothermic reactions | Chemical reactions | High school chemistry | Khan Academy
So what we have depicted here is a reaction. I have a beaker, and in that beaker, I have molecules. I have these purple molecules; I also have these blue ones. If I were to just leave this beaker at room temperature in my laboratory, nothing is going to h…
How Elephant Families Communicate and Bond | Secrets of the Elephants
For the last 48 years, Dr. Joyce Poole has been eavesdropping on elephant families, learning their language. “I speak to elephants. I rumbled to them if they seem upset. I say hello and things. Their vocabulary is very large. Elephants have over 30 vocal…
Cosine equation solution set in an interval
In a previous video, we established the entire solution set for the following equation. We saw that all the x’s that can satisfy this equation are a combination of these x’s and these x’s. Here, the reason why I’m referring to each of them is numerous x’s…
Are Daddy Longlegs Spiders? (Re: 8 Animal Misconceptions Rundown)
In my animal misconceptions video, I casually mentioned that daddy long legs aren’t spiders and received a ton of comments asking for clarification or suggesting that it’s not that simple. So I feel the need to clear things up a bit. But first, a disclaim…