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?

Q&A with YC at the Female Founders Conference 2016

When Should YOU Start Hiring Employees? Ask Mr. Wonderful #5 | Kevin O'Leary

View All

Identifying individuals, variables and categorical variables in a data set | Khan Academy

We’re told that millions of Americans rely on caffeine to get them up in the morning, which is true. Although, if I drink caffeine in the morning, I’m very sensitive; I wouldn’t be able to sleep at night. Here’s nutritional data on some popular drinks at…

The Battle for the Soul of Artificial Intelligence | Podcast | Overheard at National Geographic

[Music] I’m a sci-fi nut and one of my favorite books is The Caves of Steel by Isaac Asimov. It’s all about this hard-boiled grizzly detective who gets assigned a strange new partner, a robot. I’ve always wanted a robot partner, and now through the magic…

Reflecting and scaling absolute value function

[Instructor] The graph of y is equal to absolute value of x is reflected across the x-axis and then scaled vertically by a factor of seven. What is the equation of the new graph? So pause the video and see if you can figure that out. Alright, let’s work t…

LearnStorm Growth Mindset: Khan Academy's humanities content creator on social belonging

Hey, I’m Kim Kutz Elliott and I work on humanities content at Khan Academy. So yeah, I thought about things that were really difficult for me. One thing, um, that was hard for me was class discussion because I went to this history class, and I swear that…

Scaling functions introduction | Transformations of functions | Algebra 2 | Khan Academy

So this is a screenshot of Desmos. It’s an online graphing calculator. What we’re going to do is use it to understand how we can go about scaling functions, and I encourage you to go to Desmos and try it on your own, either during this video or after. Le…

Kevin O'Leary Investment RuckPack featured on Bloomberg TV

There tell people first of all about Ruckpack. What is this? This company and product? Ruckpack is a peak performance nutrition shot, pure and simple. It’s good ingredients; it’s the things you need that your body needs to stay on top, to stay in peak per…

Volume of rectangular pyramids using cubes | Grade 7 (TX TEKS) | Khan Academy

More Articles