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?

People Don't See It - Anthony Hopkins On The Illusion Of Life
The U.S. Economy Enters "The Most Dangerous Time" in History (Jamie Dimon Explains)

More Articles

View All
Danny Trejo Ziplines Down a Cliff | Running Wild with Bear Grylls
Soon your weight is going to come onto your rope above you. Keep walking it back. OK, and now just enjoy the ride. Here you go. Keep pulling back. Try and get your feet down when you can, Danny. Whoa! Uh! Ahh! Ah. OK, we need to move fast. [bleep] I’m c…
The Peloponnesian War | World History | Khan Academy
As we’ve already seen, the fifth century BCE starts off with Athens and Sparta and various Greek city-states fighting on the same side against the Persian invaders. But as we saw in the last video, as soon as the Persians are dealt with, tensions start to…
Jordan Peterson | You Have No More Time
You need a family. You need friends. You don’t need to have all these things, but you better have most of them: family, friends, career, educational goals, plans for, you know, time outside of work, attention to your mental and physical health, etc. You k…
How does a whip break the sound barrier? (Slow Motion Shockwave formation) - Smarter Every Day 207
(Whooshing) (Smacking) - What’s up, I’m Destin, this is Smarter Every Day. This is the tip of a bull whip and that crack you hear is this breaking the sound barrier. My question is why or how? Like, if you think about it, your arm’s never leaving your bod…
5 Philosophical Questions Without Satisfying Answers
Some questions have been keeping humanity busy since the dawn of time. Moreover, complete civilizations and religions have been built around these questions. No matter how much we have debated, researched, and observed, there just doesn’t seem to be a sat…
Africa’s Pristine Delta in 360 - Ep. 1 | The Okavango Experience
That first moment sitting by myself on an island in the Okavango Delta was the most profound moment of my life. It is, to me, a wilderness beyond comparison. The Okavango Delta is Africa’s last remaining pristine Witkin wilderness. It is an oasis in the m…