powershell, 157 bytes

Result

AC

Duration

1341ms

Code [DL]

$s=$Input.Split()
3..11|ForEach{$s[$_]-=$s[$_%3]}
echo(($s[11]*($s[7]*$s[3]-$s[4]*$s[6])+$s[10]*($s[5]*$s[6]-$s[3]*$s[8])+$s[9]*($s[4]*$s[8]-$s[7]*$s[5]))/6)

stdin

22 48 51
07 97 50
85 40 62
97 78 08

stdout

28411

stderr

strace