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 6 BEST Investments To 10X In 2022
Column chromatography | Intermolecular forces and properties | AP Chemistry | Khan Academy

More Articles

View All
Who Am I? | The Philosophy of Alan Watts
Who am I? Am I the mind? Am I the body that contains the mind? Am I a descendant of an alien race that, long ago, set foot on Earth? Am I created by God? The English philosopher, writer, and speaker Alan Watts believed that the most important question a h…
How to Make a Snare | Live Free or Die: DIY
[Music] If you’re planning on catching an animal, one of the simplest kinds of traps that you can build is a snare. You can make it out of a vine, a piece of cordage, string, or a piece of electrical appliance cord. Now, I don’t have electricity, so I don…
Biased and unbiased estimators from sampling distributions examples
Alejandro was curious if sample median was an unbiased estimator of population median. He placed ping-pong balls numbered from zero to 32 in a drum and mixed them well. Note that the median of the population is 16. He then took a random sample of five bal…
Charlie Munger: How the Stock Market Really Works
[Music] Charlie Munger is commonly referred to as Warren Buffett’s right-hand man, but he’s actually a very clever, smart, successful investor in his own right. Back when he ran his investment partnership, he was able to generate 20% annual returns for a…
How To Deal With Setbacks
It’s like saying that you want to be a boxer, but like after you get really good at boxing, you’ll never have to take a punch again. It’s like, no, the sport, people, that’s the sport of the game we’re playing. All right, this is Michael Seibel with Dalt…
Radiation vs Radioactive Atoms
Radiation has been in the news a lot lately, but the term “radiation” has just been thrown around loosely to mean anything potentially damaging coming away from a nuclear power plant. So, what are people worried about? That it’s going to, like, explode an…