RE: Question: Proving the volume of a pyramid
March 5, 2022 at 9:29 pm
(This post was last modified: March 5, 2022 at 9:31 pm by polymath257.)
(March 5, 2022 at 1:06 pm)Fireball Wrote: Like this-
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.