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?

Ratios and double number lines
A day in my life Japan Vlog-Tokyo Korean Town

More Articles

View All
The Jet Business Bloomberg Editorial October 2013
People drive by; they see this Airbus corporate jet in the window. They catch their attention, and they come in to see what this place is. It is the most global market of any industry. Africa is a big market. Asia is a big market. London was a location wh…
Latin and Greek roots and affixes | Reading | Khan Academy
Hello readers! Today I want to talk about vocabulary and how many English words have Greek or Latin roots embedded in them, and how you can use that to your advantage. The story of why English has Greek and Latin in it at all is super fascinating to me, …
The Sun Sneeze Gene
I am a sun sneezer, which is also known as having the photic sneeze reflex, or the autosomal dominant compelling helio-ophthalmic outbursts syndrome. Which basically means if I go from a dark area into somewhere that’s brightly lit - you know, like, looki…
15 RULES of BEING ALONE
All of humanity’s problems stem from man’s inability to sit quietly in a room alone. Depending on where you fall on the social spectrum, the thought of being surrounded by a lot of people is either a thrilling or a terrifying picture. But despite all of t…
2015 AP Chemistry free response 2f
During the dehydration experiment, Ethan gas and unreacted ethanol passed through the tube into the water. The ethine was quantitatively collected as a gas, but the unreacted ethanol was not. Explain this observation in terms of the intermolecular forces …
How To Build Discipline
Self-discipline is your ability to do the uncomfortable but important things when nobody’s forcing you to do it. The last part, that no one forcing you, is the thing that people struggle with the most. When you were a kid, your parents told you what to do…