I didn't remember the formulas either, but I was able to derive them
(hopefully I did this correctly):
A * h
V (Volume of a pyramid) = -----
3
2
SQRT(3) * e
A (Area of an equilateral triangle) = ------------
2
SQRT(2) * e
h (Height of a tetrahedron) = -----------
SQRT(3)
e (Length of a side)
3 2
If V = 50,000,000 m , then A = 219,130 m .
Also, h = 411 m, and finally, e = 503 m.
The Alcyon is roughly 500 meters on a side, and is over 400 meters tall.
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Gerald Williams (aka Morton Limner)
[email removed]
[email removed]
[phone removed]
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