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?

6 habits that took me from $0 to $30,000/month by age 23
Safari Live - Day 162 | National Geographic

More Articles

View All
YouTube On the Rise Contest- Smarter Every Day
Hey, it’s me Destin, I just got home from work. Ignore the thunderstorm in the background. But a couple of things I’d like to do after a long day at work is— the first is I find my wife and plant a big kiss on her. And then I take my boots off. That’s wha…
Why Do We Laugh?
I was having dinner with two friends recently. They’re a couple, but as we sat down to eat, I could tell there was tension between them. They weren’t speaking to each other for the first 10 minutes of the meal and gave short answers to all my questions. A…
The Beginning of Everything -- The Big Bang
The beginning of everything. The Big Bang. The idea that the universe was suddenly born and is not infinite. Up to the middle of the 20th century, most scientists thought of the universe as infinite and ageless. Until Einstein’s theory of relativity gave …
Lewis diagrams | Atoms, isotopes, and ions | High school chemistry | Khan Academy
In this video, we’re going to introduce ourselves to a new way of visualizing atoms. As you can imagine from the title here, that’s going to be Lewis diagrams. But before I even get into that, let’s do a little bit of review of what we already know about …
How the End of the Cold War Led to Birth of the International Space Station | Rewind the '90s
NARRATOR: Our story opens with revolution. After decades of cold war, the mighty Soviet empire is collapsing. MAN: The wall is effectively down. NARRATOR: Just weeks before the 90s begin, the most famous symbol of the political divide between east and w…
When Life Hurts, Care Less About It | The Philosophy of Marcus Aurelius
Once the most powerful man in the known world, Marcus Aurelius attempted to live virtuously, following Stoic principles. Unlike many Roman Emperors, he did not indulge in the many pleasures he had access to, like getting drunk on wine and watching sadisti…