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?

Standard deviation of residuals or root mean square deviation (RMSD) | AP Statistics | Khan Academy

Touring a unique terraced backyard farm | Farm Dreams

View All

Protecting the Okavango Ecosystem | National Geographic

Healthy ecosystems support rich biodiversity. The Okavango Delta hosts one of the most vibrant on Earth. Pristine water from Angola becomes the life force that sustains a vast variety of species. Two on the right! One on the left there! Each plays its par…

Interval of convergence for derivative and integral | Series | AP Calculus BC | Khan Academy

Times in our dealings with power series, we might want to take the derivative or we might want to integrate them. In general, we can do this term by term. What do I mean by that? Well, that means that the derivative of f prime of x is just going to be the…

STOP PLAYING SMALL| Jordan Peterson Motivational Speech

You are far more capable than you allow yourself to believe. But here’s the hard truth: that potential will remain hidden if you keep retreating into comfort and avoiding responsibility. When you play small, when you settle for less, avoid challenges, or …

Khan Academy Ed Talks with Fenesha Hubbard - Thursday, September 2

Hello and welcome to Ed Talks with Khan Academy! I am excited today to be talking to Phoenicia Hubbard, who is with NWEA, one of our partner organizations that we’ll talk more about in a minute. She is the Professional Learning Design Coordinator, so I’m …

Reddit Disinformation & How We Beat It Together - Smarter Every Day 232

Hey, SV Dustin! Welcome back to Smarter Every Day. Unfortunately, now is the time for the video about disinformation on Reddit, the front page of the internet. It’s been documented by both the European Union and the United States of America that Russia, I…

Can Stoics Be Activists? | Q&A #5 | July 2019

Hello everyone! Welcome to the fifth Einzelgänger Q&A. Before the weekend, I reached the 50,000 subscriber mark on this channel. When I started back in January, I’d never had expected that this channel would reach this magic number so quickly or, at a…

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

More Articles