lua, 129 bytes

Result

AC

Duration

506ms

Code [DL]

X={}
for i=-3,8 do
X[i]=io.read"*n"-(X[i%3-3]or 0)
p=-~i%3
q=~-i%3
x=i>5 and x+X[i]*(X[p]*X[q+3]-X[q]*X[p+3])or 0
end
print(x//6)

stdin

52 33 78
74 11 50
06 06 51
55 90 24

stdout

32252

stderr

strace