yego.me
yego.me
💡 Stop wasting time. Read Youtube instead of watch. Download Chrome Extension

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?

THIS IS A BUTTERFLY! (Scanning Electron Microscope) - Part 2 - Smarter Every Day 105
The Wolf of Wall Street (Movie Commentary W/ @HamishHodder and Jason Hughes)

More Articles

View All
How to Build RELIABLE Passive Income for 2022
So back when I was at uni, four or five years ago, I remember having this moment where one day I searched for physiotherapy jobs in my city. It was at that exact moment of my life I realized I was never really going to make all that much money as a physio…
Kamala’s $25K Homebuyers Tax Credit Will Backfire
Kevin, look, I feel deeply for Jenzy. I can’t imagine being a first-time home buyer and you’re staring down, you know, million-dollar homes with huge interest rates. I mean, is that the plan that will work? I got two Gen Z in my family right now, and the…
How price controls reallocate surplus | APⓇ Microeconomics | Khan Academy
What we’re going to talk about in this video is the effect of price controls on changing how the surplus, the total surplus, is reallocated between consumers and producers. We already touched on this in other videos, the video on rent control, the video o…
shower thoughts that actually make sense..
Somewhere on Earth, in a random corner of the world—well, actually, the Earth is round, so there aren’t really corners—but in a random corner of the world, there’s a worm. Just a single worm, and he holds the world record for digging deeper into the Earth…
Limitless with Chris Hemsworth | Official Trailer | Disney+
Now I may be in pretty decent shape. Sure, I may look like an immortal Norse God, et cetera. Stop it. But… I know the clock is already ticking. I’m teaming up with the world’s leading Longevity experts. [BREATHES] Taking on six of the toughest tests of my…
How To Build Wealth In Your 20s (Realistically)
What’s up, Graham? It’s Guys here. So, just over 4 years ago, I made a video about seven daily habits that changed my life. And don’t worry if you haven’t seen the video, here’s what those were: creating short and long-term goals, making a to-do list eve…