Problem:
A polyhedron has vertices with the coordinates $\left(
\begin{array}{ccc}
 0.742 & 0.156 & 0.518 \\
 0.025 & 0.775 & 0.38 \\
 0.663 & 0.714 & 0.879 \\
 0.64 & 0.775 & 0.676 \\
 0.231 & 0.536 & 0.994 \\
 0.567 & 0.843 & 0.814 \\
 0.354 & 0.114 & 0.061 \\
 0.314 & 0.003 & 0.818 \\
 0.714 & 0.051 & 0.766 \\
 0.788 & 0.491 & 0.65 \\
\end{array}
\right)$. 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:
Solid Angle: $3.34$ 
Volume: $0.18$ 
Surface Area: $1.9$
{'source': 'AMPS', 'file': 'amps/mathematica/geometry/solids/81409.txt'}