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?

Economic profit for firms in perfectly competitive markets

Graphing square and cube root functions | Algebra 2 | Khan academy

View All

How To Get Rich

world won’t get there by making a social media platform. You aren’t Mark Zuckerberg. The reason these men got to where they are today is because they took a path that no one else ventured down. They made really stupid decisions that led to better decision…

Will We Ever Visit Other Stars?

Hey, Vsauce. Michael here. I’ve been watching Bravest Warriors on Cartoon Hangover lately. It’s great, it was created by Pendleton Ward, and in the show, teenagers zip around the universe visiting star systems and planets, and here is my question: When wi…

15 Reasons Why Real Estate is the Best Investment

Halloway Luxor’s! We’re thrilled to have you back for another amazing Sunday motivational video, especially today when we’re breaking down why real estate is and has been the best go-to investment for building wealth. By the end of this one, you should ha…

Meet the Explorers | OceanXplorers | National Geographic

The Ocean: The Last Frontier on Earth. So much is unexplored and unexplained. To change that, okay, let’s do it! Ready: a kick-ass team of insanely talented specialists is setting out to push the frontiers of what we know about our oceans. Just stunningly…

The Fifth Amendment - takings clause | US government and civics | Khan Academy

Hi, this is Kim from Khan Academy. Today, we’re learning more about the Takings Clause of the Fifth Amendment. In another video, we’ll discuss the other clauses of the Fifth Amendment, those that deal with self-incrimination and due process of law. But in…

NEVER Beg for LOVE And Have Everything NATURALLY | STOICISM

Imagine going into every relationship in your life with peace of mind, a deep understanding and the strength to handle any storms that may come your way. Stoicism teaches us that we can’t change the outside world or other people’s actions, but we can cont…

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

More Articles