Problem:
A polyhedron has vertices with the coordinates $\left(
\begin{array}{ccc}
 0.59 & 0.773 & 0.883 \\
 0.404 & 0.128 & 0.816 \\
 0.844 & 0.554 & 0.808 \\
 0.578 & 0.918 & 0.187 \\
 0.166 & 0.802 & 0.019 \\
\end{array}
\right)$. 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: $1.17$ 
Volume: $0.05$ 
Solid Angle: $1.5$
{'source': 'AMPS', 'file': 'amps/mathematica/geometry/solids/80338.txt'}