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?

Using a confidence interval to test slope | More on regression | AP Statistics | Khan Academy
The SwissQT

More Articles

View All
Michael Burry Calls Extreme Overvaluation and Reduces His Exposure
All right, 13-F season continues, folks, and we’re moving right along to Michael Burry, who quite honestly is here, there, and everywhere at the moment. So, in this video, we’re going to talk about the two big moves he’s pulled with his own portfolio tha…
Why Most People Will Never Be Rich
Some people will never be rich, and no, it’s not about where you grew up, who your parents are, your gender, or the color of your skin. Let us explain. Welcome to alux.com. These 100 dots are meant to symbolize the world’s population. From a quality of l…
Wave transmission | Waves | Middle school physics | Khan Academy
When we’re talking about waves, transmission is when a wave passes from a material into another one. For example, here we have the sun, 93 million miles away on average, and imagine the different materials that the light has to travel through from the sun…
Turning Sound Into Music—Why Do We Do It? | Short Film Showcase
What is sound? Uh, what is sound? Sound is just a cross-modal version of touch in a way, and that there are these waves that sort of move through the air, and they get in your ear and they actually hit the eardrum, and they push it back and forth. And so …
Approximating dividing by decimals
What we’re going to do in this video is get a little bit of practice estimating dividing with decimals. So, for example, we want to figure out approximately— that’s what these kind of squiggly equal sign means; this means approximately equal. So what is…
How a broken, screwed-up life can be beautiful (Kintsugi)
Imagine having a beautiful vase decorating your living room. And it’s not just a vase; it’s a genuine nineteenth-century, hand-painted piece of porcelain created in the Satsuma province in Japan. One day, your neighbor’s dog sneaks into your garden, walks…