Problem:
A polyhedron has vertices with the coordinates $\left(
\begin{array}{ccc}
 0.545 & 0.618 & 0.912 \\
 0.486 & 0.645 & 0.346 \\
 0.07 & 0.055 & 0.3 \\
 0.038 & 0.153 & 0.182 \\
 0.163 & 0.682 & 0.224 \\
 0.995 & 0.158 & 0.738 \\
 0.052 & 0.619 & 0.886 \\
 0.709 & 0.17 & 0.93 \\
\end{array}
\right)$. 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: $1.77$ 
Volume: $0.16$ 
Solid Angle: $2.31$
{'source': 'AMPS', 'file': 'amps/mathematica/geometry/solids/86178.txt'}