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?

My Top 3 Passive Income Sources

Alien Oceans | Explorers in the Field

View All

Leaving Earth | MARS: How to Get to Mars

We need to be able to get off of Earth better. So, first thing we need to work out is how to very efficiently get off of Earth. Then we can start working out how to efficiently get on to Mars. If you want to get off the planet Earth today, you’ve got one …

Estimating actual COVID 19 cases (novel corona virus infections) in an area based on deaths

The goal of this video is to help us all estimate the actual new COVID-19 cases per day in your area, and it’s based on analysis by Thomas Pueyo. He wrote an incredible blog post on Medium; this is the link, and I’ll also include it in the description bel…

Weaver Ant Chutney | Gordon Ramsay: Uncharted

It’s the day of the final cook, and I should be getting my fires going. Good morning, this is B. How are you? But I have a lead on one more special ingredient that I’m told can be harvested nearby. What is this secret ingredient? “Phegley, Sydney, multi-…

This Is Why Discord Is Dangerous

On the 13th of April 2023, a 21 year old member of the U.S Air Force National Guard, Jack Tashira, was arrested on live TV for leaking classified documents. Tashira had shared classified information about the war in Ukraine with his Discord group, Thug Sh…

Example constructing a t interval for a mean | Confidence intervals | AP Statistics | Khan Academy

A nutritionist wants to estimate the average caloric content of the burritos at a popular restaurant. They obtain a random sample of 14 burritos and measure their caloric content. Their sample data are roughly symmetric, with a mean of 700 calories and a …

11 Things You Should QUIETLY ELIMINATE from Your Life | Marcus Aurelius Stoicism

[Music] Marcus Aurelius, the stoic philosopher king, once said, “Our life is what our thoughts make it.” This profound insight lays the foundation for this video, where we’ll show you 11 vital things you need to quietly cut out of your life. We can trans…

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

More Articles