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?

How Kodak Exposed Nuclear Testing
Society and religion in the New England colonies | AP US History | Khan Academy

More Articles

View All
Examples relating decimals and fractions in words
We are told to write seven hundredths as a fraction and a decimal. Why don’t you get some paper and a pencil out and see if you can do that before we do it together? All right, so let’s do it first as a fraction. So what is going to be the denominator of…
Multiplying & dividing rational expressions: monomials | High School Math | Khan Academy
So up here we are multiplying two rational expressions, and here we’re dividing one rational expression by another one. What I encourage you to do is pause these videos and think about what these become when you multiply them out. Maybe you simplify it a …
Svalbard - The Northernmost Town on Earth
Come take a walk with me, around Longyearbyen. That’s the largest town on the Norwegian islands of Svalbard. Parts of it may look familiar. But make no mistake, this place IS different. At 78° north, it is just 1800mi/1300km from the North Pole. And with …
Back In Action | Big Fish Texas
What’s happening? Boys trying to show this boy out on tightrope? Make you figure out you mean you’re doing nothing. Okay, I’m waiting on parts right now. Thank you. Much stuff, there’s plenty of cleaning. There’s lots of stuff doing their cleaning. Don’t …
How to sell private jets!
Occasionally, we’ll buy an airplane and then mix it up and then resell it on. But the majority of the time, we’re acting as an exclusive agent to represent either a buyer or a seller. For most of my career, we would always represent the seller and try to…
The Meaning of Life
The meaning of life question is kind of a nonsense question. Any end goal will just lead to kind of another goal, lead to another goal. We just play games in life, right? You grow up, you’re playing the school game. You’re playing the social game, then yo…