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?

Introduction to cilia, flagella and pseudopodia | Cells | High school biology | Khan Academy

What Credit Card Companies Don’t Tell You

View All

AI for Digital SAT prep

All right, everybody! Well, we are going to take time to now introduce, uh, myself as the host and then I’ll let my amazing panelists go ahead and introduce themselves. So nice to meet you! My name is Danielle Sullivan. I am Senior Manager of District Par…

A Conversation on Hard Tech with Eric Migicovsky

Welcome! We have Eric here today. So, Eric is a YC partner. He was previously the CEO and founder of Pebble, which went through the YC batch all the way back in the winter of 2011. A long time ago! You’re gonna find Eric. Now we have the other building on…

What Is the 'Gray Zone' Border Between the U.S. and Canada? | National Geographic

The United States and Canada share the longest undefended border in the world. Most of the time, it’s as peaceful as it sounds, but not always. Since the 1700s, a tiny turf war has been smoldering between the two countries. The grand prize: an uninhabited…

Determinants of elasticity example | APⓇ Microeconomics | Khan Academy

We are asked which of the following describes a good that is likely to have the most elastic demand. Choose one answer. So pause this video and see if you can answer that. All right, so the first choice right over here, they talk about a luxury with many…

Michael Burry's 'Big Short' Against the Stock Market

Well, Michael Barry has been back in the news lately with a bombshell tweet. It turns out Christian Bale was actually wearing Michael Murray’s clothes in The Big Short, which does beg the question, whose clothes was Michael Barry wearing? Yes, the award-w…

Ethology and animal behavior

In this video, we will begin to explore the field of ethology, which is the study of animal behavior. Animal behavior and the word itself, ethology, it has its roots in the Greek ethos. You also might be familiar with the word ethics. Ethos and ethics, yo…

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

More Articles