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?

Warren Buffett & Charlie Munger: Margin of Safety
Being ruthless in business

More Articles

View All
Two Minutes to Midnight
First, you’ll have to know what happens when an atomic bomb explodes. You will know when it comes. We hope it never comes. Ready, it looks something like this. Today, when discussing the destructive power of nuclear weapons or asteroids or any large-scal…
We Tracked Every Visitor to Epstein Island | WIRED
Even in death, the secrets of Jeffrey Epstein remain tightly guarded. But earlier this year, I spearheaded a Wired investigation that uncovered the data of almost 200 mobile phones belonging to visitors to his infamous pedophile island. The data was so pr…
$90,000 Audemars Piguet 11.59 DOUBLE Your Investment Value | Kevin O'Leary
[Music] Please, last time you could grew a beard. You know, I had one about two years ago, and I liked it. I mean, it’s just… but when I went back to TV land and said like, “I wanna do it,” your shows have the beard on this city. Not a chance of him! Why …
Warren Buffett's SECRET to Making Millions from IRRATIONAL BEHAVIOUR!
There’s a certain irony in that we will, we would do the best over decades if we operated in a market where people operated very foolishly. The more people respond to short-term events and exaggerated things, or anything that causes people to get wildly e…
This Just Ruined Robinhood...
What do the guys? It’s Graham here, so let’s go ahead and spill some drama, or the T, as they say on YouTube, with some of the recent changes that have been going on with Charles Schwab, Robin Hood, TD Ameritrade, and some of the other brokerages that are…
Who Owns Antarctica?
Antarctica, home to the south pole(s), penguins, and about 5,000 people during the summers, but less than 1,000 during the ever dark winter. No one lives on the continent permanently, so, who owns Antarctica? Most stuff outside national borders, the sea f…