Problem:
A polyhedron has vertices with the coordinates $\left(
\begin{array}{ccc}
 0.873 & 0.489 & 0.576 \\
 0.165 & 0.671 & 0.762 \\
 0.813 & 0.287 & 0.933 \\
 0.37 & 0.667 & 0.104 \\
 0.14 & 0.737 & 0.117 \\
\end{array}
\right)$. Estimate the polyhedron's surface area, volume, and the solid angle at the first listed point p spanned by edges with common point p.
Answer:
Surface Area: $0.92$ 
Solid Angle: $0.59$ 
Volume: $0.02$
{'source': 'AMPS', 'file': 'amps/mathematica/geometry/solids/39939.txt'}