Problem:
A polyhedron has vertices with the coordinates $\left(
\begin{array}{ccc}
 0.942 & 0.183 & 0.175 \\
 0.864 & 0.661 & 0.043 \\
 0.846 & 0.905 & 0.942 \\
 0.412 & 0.596 & 0.766 \\
 0.539 & 0.092 & 0.338 \\
 0.518 & 0.809 & 0.681 \\
 0.495 & 0.647 & 0.861 \\
 0.994 & 0.152 & 0.532 \\
\end{array}
\right)$. 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:
Solid Angle: $1.77$ 
Surface Area: $1.5$ 
Volume: $0.11$
{'source': 'AMPS', 'file': 'amps/mathematica/geometry/solids/52038.txt'}