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?

Still Human | Nobel Peace Prize Shorts

How One Brilliant Woman Mapped the Secrets of the Ocean Floor | Short Film Showcase

View All

How To Get Rich According To Warren Buffett

There are a million ways to make a million dollars. In this video, we’re looking at one of them, and the main character in this video is the legendary Warren Buffett, who made his fortune of over 104 billion dollars by investing in the stock market. After…

How to Run a User Interview with Emmett Shear (How to Start a Startup 2014: Lecture 16)

Today’s guest speaker is Emmett Scheer. Emmett is the CEO of Twitch, which was acquired by Amazon, where he now works. Emmett is going to do a new format of class today and talk about how to do great user interviews. So this is the talking to users part o…

Avni Patel Thompson at the Seattle Female Founders Conference

So the first speaker you’re gonna hear today is Omnipotent Thompson, the founder of Poppy. Poppy is a site that connects parents with great caregivers for their children. So Omni and her co-founder went through Y Combinator in Winter 2016. She’s also an i…

AC analysis intro 2

So in the last video, we started working on the analysis of an RLC circuit that had a forcing function. The math for doing that gets really hard, and so what we decided to do was see what happens if we limit ourselves to using just sinusoidal inputs that …

15 Ways to Hack Your Brain to Break Bad Habits

How many times have you tried to break a bad habit? 90% of people fail when they first start trying to break their bad habits, and it’s because they’re trying to break it in all the wrong ways. Habits are hardwired into your brain, and they have to be bec…

World's Highest Jumping Robot

This tiny robot weighs less than a tennis ball and can jump higher than anything in the world. In the competitive world of jumping robots, the previous record was 3.7 meters, enough to leap a single-story building. This jumper can reach 31 meters, higher …

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

More Articles