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?

Adding rational expression: unlike denominators | High School Math | Khan Academy
Bank balance sheets and fractional reserve banking | APⓇ Macroeconomics | Khan Academy

More Articles

View All
Everything about Sea Turtles - Smarter Every Day 239
Hey, it’s me, Destin. Welcome back to Smarter Every Day. I’m a mechanical and aerospace engineer. So when it comes to things like shock waves, or laminar flow, or snatch blocks, or aircraft, and things like that, I’m very comfortable learning things, beca…
Simulating samples from populations example 1 | Grade 8 (TX) | Khan Academy
We’re told a company manager wants to estimate the mean amount of time it takes the employees to travel to work. Here’s what the manager did: Survey the first 20 employees to arrive that day. Note the amount of time for each employee, add those times, a…
Inca Empire overview | World History | Khan Academy
What we’re going to do in this video is think about the significant empires that formed shortly before the European colonization of the Americas. In particular, we’re going to focus on the Inca Empire. In other videos, we have talked about the Aztecs, but…
Why is Deadly Weather Mesmerizing? | StarTalk
Well, in the same way that CNN does very well in their ratings when there’s war, the Weather Channel does really well when there’s extreme weather. Right. So people love watching extreme weather—the tornadoes—it’s mesmerizing. Hurricanes. Absolutely. And …
A Tale of Two Credit Scores | Teacher Resources | Financial Literacy | Khan Academy
[Music] Con Academy proudly presents a tale of two credit scores. This is Jana. Hi! And this is Bob. Good morning! Narrator: Hi Bob! These two charming characters are co-workers, each with the same job and salary. They both need a vehicle, so they’ve tr…
How To Get A PERFECT Credit Score For $0
What’s up guys, it’s Graham here! So it finally happened, and we are celebrating today because for the last nine years, my credit score has never once surpassed the legendary eight hundred score. I got it once to seven ninety-nine, but it was just never a…