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?

Determining the effects on f(x) = x (multiple transformations) | Algebra 1 (TX TEKS) | Khan Academy

Guided meditation for high school students

View All

BRA GUN??? -- Mind Blow #17

A bra gun holster? An electromagnet plus balls equals woooo! Vsauce, Kevin here. This is Mind Blow. Touch screens are okay, but how about touching a force field? Using infrared sensors, this multi-touch system allows a traditional monitor to be manipulat…

A Mysterious Fungus Is Killing Rattlesnakes | National Geographic

They’re a unique little species. They live in wetlands primarily, which is not what you typically think of when you think of rattlesnakes. The real stronghold for Eastern massasaugas is here in Michigan. This species was recently listed under the US Endan…

The Hole Where King Tut’s Heart Used to Be | Overheard at National Geographic

Foreign [Music] When I heard the news of this year’s big show with the National Geographic Museum, which is on the first floor of headquarters, I couldn’t wait to see it. It was going to focus on the world’s most famous Pharaoh, King Tut, in honor of the …

After PMF: People, Customers, Sales by Mathilde Collin

Following on from Paul’s talk about some of the ways to think about becoming, or what it takes to become, or whether you might believe you might become a hundred billion dollar business, I am going to have a conversation with Mathilde, who is in the proce…

How Black Climbers Are Closing the Adventure Gap | Podcast | Overheard at National Geographic

Earlier this year, James Edward Mills did something I’ve always wanted to do. He flew to Nepal and directed the base of Mount Everest. I did uh travel with the team, um from Kathmandu to Lukla. Then we basically walked from Lukla to Everest Base Camp. Wow…

How to Make an Elephant Explode – The Size of Life 2

Let’s shrink an elephant to the size of a mouse and enlarge a mouse, and make it the size of an elephant, because this is our video, and we want to see what happens. First, our now tiny elephant stumbles around and then drops dead. Tiny elephant buddy is …

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

More Articles