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Question: Proving the volume of a pyramid

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Question: Proving the volume of a pyramid
Fireball Offline
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RE: Question: Proving the volume of a pyramid
March 5, 2022 at 10:24 pm
(March 5, 2022 at 9:29 pm)polymath257 Wrote:
(March 5, 2022 at 1:06 pm)Fireball Wrote: Like this-

[Image: wSIaiMr.jpg]

Actually, that is slightly different from what I was describing, but still very nice. The vertices of your hexagon are not all on the same plane.

This is, actually, a good way to see the decomposition of the cube into three pyramids.  The opposite vertex (that you can't see in the projection) connects to each of the visible square sides to form a pyramid. So the volume of a pyramid is 1/3 the volume of the cube.

Oy. Now I think on it, I realize what you meant. -Hexagon inscribed in a cube
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Atheist Forums › Science › Mathematics v
Question: Proving the volume of a pyramid

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RE: Question: Proving the volume of a pyramid - by Fireball - March 5, 2022 at 10:24 pm

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