vim, 198 bytes

Result

AC

Duration

505ms

Code [DL]

VGJ:let l=map(split(getline(1),' '),'str2nr')
:for i in range(9)
let l[i+3]-=l[i%3]
endfor
:call setline(1,(l[11]*(l[7]*l[3]-l[4]*l[6])+l[10]*(l[3]*l[8]-l[5]*l[6])+l[9]*(l[4]*l[8]-l[7]*l[5]))/6)
ZZ

Disassembly

VGJ:let l=map(split(getline(1),' '),'str2nr')<NL>:for i in range(9)<NL>let l[i+3]-=l[i%3]<NL>endfor<NL>:call setline(1,(l[11]*(l[7]*l[3]-l[4]*l[6])+l[10]*(l[3]*l[8]-l[5]*l[6])+l[9]*(l[4]*l[8]-l[7]*l[5]))/6)<NL>ZZ<NL>

stdin

01 43 26
34 78 39
82 37 94
25 43 28

stdout

8821

stderr

strace