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What an amazing and unexpected relationship: we take two completely different sorts of pyramids and their volumes (=how much space they take up) turn out to be exactly in the ratio 2:1.
The two pyramids in question are:
1) the regular triangular based pyramid (also known as a regular tetrahedron). I’ll call this a TBP
2) the regular square-based pyramid (regular in the sense that all edges are the same length). I’ll call this a SBP
Drum roll please… here’s why the SBP is exactly twice as big as the TBP. No complicated maths: just common sense (and a tiny tiny bit of algebra). Enjoy!
For more on pyramids and their link to number: here’s all about square-based-pyramid numbers: enjoy!