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Volume of a pyramid is 1/3 the volume of a prism with the same base and height. 

Laszlo Bardos
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Demonstration of the fact that the volume of a pyramid is one third of the volume of a prism with the same base and height.
STL files of these models to print on a 3D printer:
drive.google.com/drive/folder...
You can use 5 x 3 mm magnets to make the models snap together.
Link to Onshape CAD file of the models: cad.onshape.com/documents/449...
To make these models snap together, use 5 x 3 mm magnets.

Опубликовано:

 

24 май 2020

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Комментарии : 27   
@bassavino
@bassavino 2 месяца назад
Thank you! I've drawn a zillion pictures of cube to prism to pyramid, trying to figure this out. So elegant!
@daniramdani9767
@daniramdani9767 3 месяца назад
this is Beautiful, thank you
@Ermdia
@Ermdia Год назад
Finaly some perfect explanation
@yordangrigorov6399
@yordangrigorov6399 Месяц назад
Great video! You should let us see the shape after you combine 2 of the pyramids, before you add the third pyramid
@cortinavictoria4681
@cortinavictoria4681 2 года назад
So helpful! Thank you!
@MandyFoxMathsTutor
@MandyFoxMathsTutor 2 года назад
This is marvellous! Thank you!
@florindarodriguez5125
@florindarodriguez5125 Год назад
Español x favor
2 года назад
Buen video. Gracias!
@arnabmondal6137
@arnabmondal6137 2 года назад
thanks a lot sir!!!
@prateeksengararya8159
@prateeksengararya8159 Год назад
Awesome, ty
@zao3166
@zao3166 Год назад
In ancients China, the three Pyramids the host cuts from a cube were named "hight horse". the word was discribed the corner part of a palace roof, in early time. In the book written by Liu Hui (a mathematics of Han Dynasty) mentioned this. And Master Liu mentioned two different shapes-- Slope and Half Pyramids. if you cut a cube or a cuboid to half, two slopes are there. A pyramid were made from a slope. If you divid a pyramid into two equal parts, two Trigonal pyramid were made. In Chinese, these three shapes are called -- Qian Du, Yang Ma and Bie Nao as well. I would mention that these shapes have volume rate: 3 : 2 : 1 That were very interesting, isn't it.
@fsnd7954
@fsnd7954 Год назад
Really interesting
@JakesClosetedMonster
@JakesClosetedMonster 2 месяца назад
We used this in math class today because kids didn’t understand how a pyramid fit into a cube
@totummmdova7546
@totummmdova7546 2 года назад
Thanks alot sir 🤢
@IdaeChop
@IdaeChop 2 года назад
Oh :0 I tried doing this with 4 weirdly shaped pyramid, and 1 regular pyramid which equals a prism, but it lead to me that the weirdly shaped pyramid is actually 1/(3√2) of the size of a prism, instead of 1/3.
@nealcarpenter3093
@nealcarpenter3093 2 года назад
I have looked high and low for the manipulatives (with or w/o magnets) for years! Did you make the 3 pyramids or can they be purchased somewhere?
@taidoan6632
@taidoan6632 2 года назад
Hvgodybkf gdkfvu gfosy thực
@laszlobardos4228
@laszlobardos4228 Год назад
I added links to the description with STL files so you can 3D print your own manipulatives. I also linked to the Onshape CAD file so you can modify the design.
@normansomera6615
@normansomera6615 2 месяца назад
Where can I buy those 3 pyramids to form a cube?
@normansomera6615
@normansomera6615 2 месяца назад
Where can I buy those 3 pyramids to form a cube?
@domdom9496
@domdom9496 Год назад
...but how would 'the ancients' have figured this out without trial and error or without making physical models?
@brianalmeida7
@brianalmeida7 2 года назад
Ok
@Kevangelo14
@Kevangelo14 2 года назад
This is what im a looking for. Not the fucking 6 pyramids with half the height of the cube
@alexisaquino2777
@alexisaquino2777 Год назад
tf u talking about kevin??
@juancarlosfigueroaaguilar5342
@juancarlosfigueroaaguilar5342 2 года назад
👎
@brianalmeida7
@brianalmeida7 2 года назад
Ok
@brianalmeida7
@brianalmeida7 2 года назад
Ok
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