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?

Atomic Habits: Small Changes, Big Results
How Do You Make a Skateboard Out of Trash? | Short Film Showcase

More Articles

View All
Area of a circle | Perimeter, area, and volume | Geometry | Khan Academy
[Teacher] A candy machine creates small chocolate wafers in the shape of circular discs. The diameter, the diameter of each wafer is 16 millimeters. What is the area of each candy? So, the candy, they say it’s the shape of circular discs. And they tell …
The "Do Something" Principle Will Change Your Life
It’s no secret that on a day-to-day basis, most people claim to lack the motivation necessary to make any significant positive changes in their lives. It’s almost a meme in today’s culture that people are just generally lazy and unmotivated, helpless agai…
Squire, Edlyft, Promise: The Journey, Challenges, & Impact
My co-founder Dave and I didn’t have any history working in the barbershop industry or in tech for that matter. Both of us had been going to barber shops for years. I started going as a kid, around six or seven, with my dad. It was like 20 years later, an…
Calculating a confidence interval for the difference of proportions | AP Statistics | Khan Academy
Duncan is investigating if residents of a city support the construction of a new high school. He’s curious about the difference of opinion between residents in the north and south parts of the city. He obtained separate random samples of voters from each …
A Senegalese Wrestler Trains to Become the ‘King of the Arena’ | Short Film Showcase
[Music] [Music] [Music] [Music] See the near their products a little veneer aficionado. My killer panel is the faucet, the more the electrons, you know, lon. Hello class, the fair loves fatality. [Music] Side [Music] Hopefully someone will own my business…
A school of hippos gives an aggressive warning sign | Primal Survivor: Extreme African Safari
(Exhales forcefully) But it’s not crocodiles I should have been watching out for. Instead, it’s one of the most temperamental animals out here. (Hippo snorting) Wow, there are a lot of eyes looking in my direction, a lot of ears pointed in my direction. T…