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?

Another Day in the Doghouse | Wicked Tuna: Outer Banks
Why Jack Johnson Sailed the Sargasso Sea Searching for Plastic | National Geographic

More Articles

View All
Constant of proportionality from graph | 7th grade | Khan Academy
The following graph shows a proportional relationship. What is the constant of proportionality between y and x in the graph? Pause this video and see if you can figure that out. All right, now let’s do this together and let’s remind ourselves what a cons…
Protecting the Queendoms 👑 | Queens | National Geographic
The most impressive female leaders will stop at nothing. Orca matriarchs will go to great lengths to make sure their sons thrive. The matriarch’s family has met up with another pod. She needs her son to mate and pass on her genes. One female in the visit…
Triple bonds cause linear configurations | Organic chemistry | Khan Academy
I want to do a quick clarification on the video on alcohols. In one of the videos, I gave this example of this alkanol right over here. It has a triple bond between the five and six carbons, and I just want to clarify that in reality, it would not ever be…
Cracking Down on Cheetah Traffickers | Podcast | Overheard at National Geographic
So as they’re coming in, you hear these cheetah cub chirps echoing through the courtroom in the late afternoon of a hot day in Hargesa. The capital of Somaliland, National Geographic Animals Editor Rachel Bale sat in on an unusual trial. Was the proceedin…
Curvature formula, part 3
So continuing on with where we were in the last video, um, we’re looking for this unit tangent vector function given the parameterization. So the specific example that I have is a function that parameterizes a circle with radius capital R, but I also kin…
Office Hours With Sal: Wednesday, March 18. Livestream From Homeroom
Hello everyone, Sal here. Sorry, so this is a very makeshift situation that we’re dealing with. I’ve moved locations. Yesterday the internet connection wasn’t so good; I think it was because I was away from the Wi-Fi router. So now I’m in my mother-in-law…