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?

Congress JUST Reset The Housing Market

15 Things That Separate LEADERS From FOLLOWERS

View All

Finding Water in the Desert | Primal Survivor

(VOICEOVER)- The riverbed is bone dry. But the trees are still alive. So that means that there’s still water here somewhere. And if you pay enough attention, the desert will show you where to look. I’m just looking at these four-leaf ferns here. There’s m…

The single most important thing when conducting business!

I just believe in referrals, repeat customers. You know, in our industry, it’s so small. If you do one thing wrong, I mean, your reputation is trash. And I just think that from having a relationship with some of the clients that we do, and we have some ve…

Margin of Safety by Seth Klarman Summary

Would you spend $350 on a book to learn about investing? Well, that is the current price to purchase the book “Margin of Safety” by Seth Clarman. This book is so rare that it is arguably one of the hardest investing books to get a hold of. Thankfully, I w…

The Difference Between Trump and Harris Policy

So the difference is in Harris’s platform. She says, “Look, I’m going to pick winners, but to pay for that, I’m going to tax everybody at 28%.” Now, I can’t find a time in history when corporate tax rates in America were increased that much in one signatu…

These Faces Are The Same Color!

Akiyoshi Kok’s newest illusion is blowing my mind. You’ve got a white face and a black face. Psych! They are both the exact same gray. The face on top appears to be illuminated by a dimmer light source than the one below. So before putting anything into …

The Pioneer of Ecstasy in the US | Narco Wars: The Mob

The first time I took ecstasy was in Manchester. Thinking, “What is this? This is pretty boring.” And all of a sudden, my knees just completely buckled, and time just started to stand still. The whole room is just throbbing, and everybody’s dancing, and t…

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

More Articles