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?

Beware: The Inverted Yield Curve
Recognizing quadratic factor methods

More Articles

View All
A productive day in my life vlog
Hi guys, it’s me, Dude! Today, we’ll look at a day of a productivity ninja. I woke up at 5:30 AM using my Yabai sunlight alarm. I represented my waking up scene to show you guys how I feel when I wake up super early. We had many things to do this day, so…
Master Stoicism in 60 Minutes: The Philosophy That Will Change Your Life
What if you wake up tomorrow morning to the shocking revelation that everything you’ve ever worked for — all your savings, investments, retirement plans, and everything else — is completely wiped out overnight? You’ve gone from having it all and living la…
Commas in space and time | The Comma | Punctuation | Khan Academy
Hello Garans, hello Paige, hi David. So today we’re going to be talking about commas in space and time because commas have basically one function, which is separating parts of sentences. Separating parts of sentences. What’s neat is that we can use comma…
Why You SHOULD NOT Buy A Home
What’s up you guys? It’s Graham here. So today we’re going to be talking about one of the most debated questions of mankind, something that philosophers have been pondering since the beginning of time. And no, it’s not what’s the meaning of life. It’s not…
World's Heaviest Weight
An apple weighs about 1 newton; the world record for jet engine thrust is 570,000 newtons. And the Saturn V rocket that launched people to the moon had a thrust of 33,360,000 newtons. But how can we measure forces this big accurately? Well, we need to ask…
How to sell a private jet!
If you could just give me an idea of, uh, you know what sort of asking price you guys are looking for it. I think on that aircraft is somewhere around 13, uh, 13, 13 and a half, something like that. Is that in the price range you’re talking about, you’re …