Problem:
A polyhedron has vertices with the coordinates $\left(
\begin{array}{ccc}
 0.071 & 0.055 & 0.826 \\
 0.579 & 0.022 & 0.692 \\
 0.293 & 0.319 & 0.814 \\
 0.247 & 0.7 & 0.038 \\
 0.279 & 0.21 & 0.129 \\
\end{array}
\right)$. 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: $0.05$ 
Surface Area: $0.89$ 
Solid Angle: $0.77$
{'source': 'AMPS', 'file': 'amps/mathematica/geometry/solids/78646.txt'}