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?

A Day in the Life of a Multi-Millionaire Shark Tank Star - Kevin O'Leary

Divergence intuition, part 1

View All

Letting Someone Go | Taoism for Broken Hearts

Letting Someone Go | Taoism for Heartbreak The philosophy of Taoism revolves around letting go, accepting, yielding, and going with the flow. All Taoist sages seem to agree that it’s better to be detached and indifferent, allow change to happen, and move…

The Future of Satellites | StarTalk

So, Mr. Secretary. It’s great to have you on. Good to be with you. I always thought the military should—once airplanes became important, the Air Force was invented. But now we have space. Why isn’t there a space force? Oh, there is a space force. They’re…

How To Retire by 30 Years Old | Starting with $0

What’s up you guys, it’s Graham here! So, the other week I posted a video about how much money you should save by every age, and in that video, I go in detail about how much money you should be putting away every single year in order to make sure you’re o…

Our Incredible Ocean: Now Is the Time to Protect It | National Geographic

Foreign, thank you. Thank you. Winning the environmental war will require a commitment far beyond any commitment ever made by any society in the history of man. Are we able? Yes. Are we willing? That’s the unanswered question. Today, we are faced with a …

Mapping the Future of Global Civilization | Nat Geo Live

That world of political geography is not going away. But, at the same time, we are engaging in this topographical engineering. These very robust engineering systems by which we modify the planet to suit what we want it to do, what our various economic and…

Earthquakes 101 | National Geographic

The ground starts to quiver; glasses rattle. Soon, walls shift, and everything begins to collapse—telltale signs of what could be a devastating earthquake. We’ve seen the destruction they unleash. Some of us may have even lived through one, and we know th…

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

More Articles