powershell, 156 bytes

Result

AC

Duration

1341ms

Code [DL]

$s=$Input.Split()
0..8|ForEach{$s[$_]-=$s[$_%3+9]}
echo(($s[2]*($s[4]*$s[6]-$s[7]*$s[3])+$s[1]*($s[3]*$s[8]-$s[5]*$s[6])+$s[0]*($s[7]*$s[5]-$s[4]*$s[8]))/6)

stdin

90 56 75
91 15 69
28 24 35
86 01 12

stdout

22285

stderr

strace