Volume of Pyramid: why 1/3 in the formula

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This video tries to go over an intuitive approach to understanding why the pyramid formula is 1/3 (base) x (height). In particular where does the 1/3 come from.
The general proof for the 1/3 reasoning is in this video:
• General Proof: Why Vol...
If this video helps one person, then it has served its purpose!
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Опубликовано:

17 янв 2021

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Комментарии : 118

@1mjourney Год назад

If anyone is interested in the "general proof" for all pyramids and not just the "cube" case as in this video, then I posted it here (no calculus, all geometry and basic algebra):

@rogerluo7753 2 года назад

Thanks, this explanation was so eligant that I managed to understand at just

@jackcoast1 2 года назад

I understood the algebra, but this intuitive understanding is far more informative!

@iris1619

I’m trying to improve my math so this is so informative! Followed your channel already, can’t wait to watch your videos again! Thanks sir, sending peace and love from Hong Kong!🎉❤

@advaithsuryaadventures7507 Год назад

Amazing. This really helped me dive deeper into the topic simply taught at school. Thanks a lot.

@dadecky5276 Год назад

thank youu, visual proof help me alot when dealing with formula

@rolandsmith7758 Год назад

Great video…you made it easy to understand. Thank You

@Zaptrap101 Год назад

Thank you, that really helped👍

@abib2325

AMAZING explanation, thank you so much 😊

@Gamer_0033

This explanation really helped me to understand thank you very much

@denaude7058

Thank you so much. Was struggling to figure this out.

@reynaldocabido2058 Год назад

I loved the way you teached! Even my 13 year old sibling understood. I wonder if you can also teach us why the frustum of pyramid also has "1/3" in its Volume. More power to you sir!

@user-pm9to1uv8f

What program did you use to draw? I love how clear and precise your mathematical drawings are, especially the ability to instantly change drawn lines to straight lines.

@anandmadhav7700

Thanks loved your explanation

@domdom9496 Год назад

In other words, one of the 6 little pyramids have a volume of half of the full cube, therefore the volume of a full cube would mean you'd have to double the volume of one of those 6 pyramids. That is, 2 x 1 little pyramids which = a third of the volume of the full cube (6 little pyramids together)?

@oregoncoast3971

A student asked me this same question today in geometry class. Now I have an answer. I wonder if anyone makes a math manipulable with 6 congruent pyramids that fit together in a cube. Seeing is believing, right? Thanks so much for creating this amazing explanation.