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?

Why Is This Field Full of Huge Presidents? | Short Film Showcase
Narcotics Hidden in Coffee Bags | To Catch a Smuggler

More Articles

View All
Cumulative geometric probability (greater than a value) | AP Statistics | Khan Academy
Amelia registers vehicles for the Department of Transportation. Sports utility vehicles, also known as SUVs, make up 12% of the vehicles she registers. Let V be the number of vehicles Amelia registers in a day until she first registers an SUV. Assume that…
Information Overload is Killing Us
Pollution. When you hear that word, what do you think of? Perhaps dangerous gases are being emitted into our atmosphere, garbage floating around the ocean, sick animals due to toxic food. But there’s another pollutant lurking in our society: an invisible …
Meet Six Rescued Rhinos That Survived Poaching | Short Film Showcase
Dingle, darlin’, lion’s den. They both lost their horns to poaching. They hit Worden family one day. Nice. How could the other panic? In his voice he said, “Are you, are you nuts? Press!” I said, “I said game drivers has come in, reported they were raided…
Long run average total cost curve | APⓇ Microeconomics | Khan Academy
We’ve talked about the idea of average total cost in several videos so far, where it was the sum of your average variable cost and your average fixed cost. But when we’re talking about fixed costs, by definition, that means we’re talking about things in t…
Example identifying the center of dilation
We are told the triangle N prime is the image of triangle N under a dilation. So this is N prime in this red color, and then N is the original; N is in this blue color. What is the center of dilation? And they give us some choices here: choice A, B, C, or…
How a 22 year old got 500 LISTINGS as a PART TIME Real Estate Agent
In my first year, I have these moments where I wanted to quit. I was just like, this is not for me, you know? Maybe real estate’s not for me. Maybe I got so frustrated. I was helping this dude out, and then like halfway through, he’s like, you know what? …