Problem:
A polyhedron has vertices with the coordinates $\left(
\begin{array}{ccc}
 0.206 & 0.263 & 0.977 \\
 0.839 & 0.419 & 0.429 \\
 0.503 & 0.945 & 0.507 \\
 0.902 & 0.159 & 0.814 \\
 0.175 & 0.701 & 0.357 \\
 0.115 & 0.884 & 0.517 \\
 0.35 & 0.914 & 0.039 \\
 0.891 & 0.001 & 0.157 \\
 0.908 & 0.81 & 0.944 \\
 0.565 & 0.806 & 0.203 \\
\end{array}
\right)$. 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:
Volume: $0.27$ 
Solid Angle: $1.2$ 
Surface Area: $2.51$
{'source': 'AMPS', 'file': 'amps/mathematica/geometry/solids/89380.txt'}