csharp, 221 bytes

Result

AC

Duration

884ms

Code [DL]

using System;class _{static void Main(){int x=0,i=0,p,q;int[]X=new int[12];for(;i<12;Console.Read())x+=i/9*(X[i]=Console.Read()*10+Console.Read()-528-X[i%3])*(X[p=++i%3+3]*X[q=-~i%3+6]-X[p+3]*X[q-3]);Console.Write(x/6);}}

stdin

05 91 96
99 15 15
23 92 50
89 58 36

stdout

19695

stderr

strace