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?

How Coffee Fuels Intellectual Discourse and Innovation #Shorts

I Spent $100,000 On A Stock Picking Monkey

View All

Gravitational potential energy at large distances | AP Physics 1 | Khan Academy

Let’s do a little bit of review of potential energy and especially gravitational potential energy because in this video we’re going to get a little bit more precise. So, let’s say that I have an object here. It has a mass of m, and I were to change its p…

Warren Buffett & Bill Gates - University of Washington

You ought to be happy where you are working, and I always worry about people who say, “You know, I’m going to do this for 10 years. I really don’t like it very well, and then I’ll do 10 more years of this.” I mean, that’s a little like saving up sex for y…

1997 Berkshire Hathaway Annual Meeting (Full Version)

[Applause] Foreign. I’m Warren Buffett, the chairman of Berkshire Hathaway. As you probably have gathered by now, I had a real problem last night; I was losing my voice almost entirely. I don’t want you to think I lost it cheering for myself this morning …

7 Best Questions from the 2024 Berkshire Hathaway Annual Meeting (Must Watch)

I don’t regard Utah as, uh, being unfriendly to the idea of utilities being treated fairly. Charlie? [Laughter] [Applause] I had actually checked myself a couple of times already, but I’ll slip again. Each year, tens of thousands of Warren Buffett discip…

Could Tweaking Our Memories Help Us Feel Better? | Nat Geo Live

The work that I’ve been doing at MIT focuses on finding individual memories in the brain and then trying to actually tinker with those memories. Can we turn them on? Can we turn them off? Can we change the contents of those memories? Ethical stuff aside, …

Daily Live Homeroom With Sal: Wednesday, March 25

Hi everyone! Sal Khan here for our daily live stream. Just as a reminder of what this is for some of y’all who might be new: as the school closures have kind of rolled out around not just the country but the world, we realized that there’s a lot of demand…

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

More Articles