Problem:
A polyhedron has vertices with the coordinates $\left(
\begin{array}{ccc}
 0.209 & 0.245 & 0.552 \\
 0.142 & 0.706 & 0.274 \\
 0.354 & 0.468 & 0.96 \\
 0.45 & 0.932 & 0.189 \\
 0.868 & 0.315 & 0.15 \\
 0.511 & 0.778 & 0.626 \\
 0.329 & 0.761 & 0.498 \\
 0.878 & 0.274 & 0.35 \\
 0.773 & 0.1 & 0.666 \\
 0.698 & 0.786 & 0.612 \\
\end{array}
\right)$. 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: $1.62$ 
Solid Angle: $2.11$ 
Volume: $0.15$
{'source': 'AMPS', 'file': 'amps/mathematica/geometry/solids/39661.txt'}