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Let OABC be a regular tetrahedron with s...

Let OABC be a regular tetrahedron with side length unity, then its volume (in cubic units) is

A

the length of perpendicular from one vertex to opposite face is `sqrt(2/3)`

B

the perpendicular distance from mid-point `overline(OA)` to the plane ABC is `(1)/(sqrt(6))`

C

the angle between two skew edges to `(phi)/(2)`

D

the distance of centroid of the tetrahedron form any vertex is `sqrt(3/8)`.

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(a, b, c, d)
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