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?

Kyle S. More on Playing Hinckley | Killing Reagan

The Monroe Doctrine

View All

Pre Columbian Americas | World History | Khan Academy

It is believed that the first humans settled North and South America, or began to settle it, about 15 to 16,000 years ago. The mainstream theory is that they came across from northeast Asia, across the Bering Strait, during the last glaciation period, whe…

Why you will NEVER retire

What’s up, Graham? It’s guys here. So if you want to quit your job, stop working, and build wealth, there’s a strategy that allows you to live completely off your investments for the rest of your life without ever having to worry about money ever again. T…

The Science of Awkwardness

Hey, Vsauce. Michael here. Not knowing what to do with your hands or offering a handshake when the other person offers a fist bump. Forgetting someone’s name… Not having anything to say and forgetting your phone at home so you can’t be distracted by it. G…

15 Questions to Unlock Your Potential

Hey, we’re going to have a heart-to-heart today, all right? This is a secret tool that we’ve used for decades. Every couple of years, we go through these exact questions to have a reality check with ourselves, and today we’re going to do it together. Save…

HOT BOBAS! -- IMG! #34

Cacti are perpetual victims and kitten heart. It’s episode 34 of IMG! When these guys get busy, you get this. And when Adobe adds the force to Photoshop, you get Adobe WanKenobi. If other brands did the same we’d have Jedi - Do or do not; Sith puma; Hunt …

Tim Brady - How do you calculate burn rate, runway and growth rate?

[Music] So how do you calculate burn rate, runway, and growth rate? Let me first start by saying that these are three very important metrics that are critical for you to manage your early stage startup. Every investor that you talk to will ask you for the…

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

More Articles