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?

Natascha McElhone: Playing Elizabeth Hopkins | Saints & Strangers
Analyzing concavity (algebraic) | AP Calculus AB | Khan Academy

More Articles

View All
Finding points with vertical tangents
Consider the closed curve in the xy plane given by this expression. Here, find the coordinates of the two points on the curve where the line tangent to the curve is vertical. So, pause this video and see if you could have a go at it. I don’t know what th…
Substitute Teaching with Khanmigo
Hi, I’m Michelle, a professional learning specialist here at Khan Academy and a former classroom teacher just like you. I’d like to introduce you to Kigo, your AI-driven companion who’s revolutionizing teaching for a more engaging and efficient experienc…
Resistivity experimentally determined
A group of students prepares a large batch of conductive dough, a soft substance that can conduct electricity, and then molds the dough into several cylinders with various cross-sectional areas (A) and lengths (L). Each student applies a potential differe…
Teaching Social Studies with Khanmigo
Hi, I’m Michelle, a professional learning specialist here at KH Academy and a former classroom teacher just like you. Meet K Migo, your AI-driven companion who’s revolutionizing teaching for a more engaging and efficient experience. Kigo has many exciting…
Bradley Cooper attempts to cross a snowy ravine on his own | Running Wild with Bear Grylls
Key things that Bradley needs to remember this morning is all the intricacies of firing that grappling gun. Then he’s got to secure that line; if necessary, use that Vector system to double up that strength. Then he’s got to commit to it and go for it bec…
The Science of the Friend Zone
Hey, Vsauce. Michael here. And today we’re going to talk about the science of the friend zone. You know, the experience of liking someone and then finding out that they would rather just be friends with you. Why does it happen? If there’s hope of escaping…