Volume of a tetrahedron

By Gerry Williams ·

TML message #1863From bundle 152

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]
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