powershell, 282 bytes

Result

WA

Duration

1330ms

Code [DL]

$a =(Read-Host).Split()
$b =(Read-Host).Split()
$c =(Read-Host).Split()
$d =(Read-Host).Split()

foreach($i in 0..3){
$b[$i]-=$a[$i]
$c[$i]-=$a[$i]
$d[$i]-=$a[$i]
}
echo(($b[0]*$c[1]*$d[2]+$b[1]*$c[2]*$d[0]+$b[2]*$c[0]*$d[1]-$b[1]*$c[0]*$d[2]-$b[0]*$c[2]*$d[1]-$b[2]*$c[1]*$d[0])/6)

stdin

37 76 41
79 95 22
79 02 99
04 76 13

stdout

37 76 41
79 95 22
79 02 99
04 76 13

stderr

Index was outside the bounds of the array.
At line:7 char:1
+ $b[$i]-=$a[$i]
+ ~~~~~~~~~~~~~~
+ CategoryInfo          : OperationStopped: (:) [], IndexOutOfRangeException
+ FullyQualifiedErrorId : System.IndexOutOfRangeException
 
Index was outside the bounds of the array.
At line:8 char:1
+ $c[$i]-=$a[$i]
+ ~~~~~~~~~~~~~~
+ CategoryInfo          : OperationStopped: (:) [], IndexOutOfRangeException
+ FullyQualifiedErrorId : System.IndexOutOfRangeException
 
Index was outside the bounds of the array.
At line:9 char:1
+ $d[$i]-=$a[$i]
+ ~~~~~~~~~~~~~~
+ CategoryInfo          : OperationStopped: (:) [], IndexOutOfRangeException
+ FullyQualifiedErrorId : System.IndexOutOfRangeException
 
Specified argument was out of the range of valid values.
Parameter name: times
At line:11 char:1
+ echo(($b[0]*$c[1]*$d[2]+$b[1]*$c[2]*$d[0]+$b[2]*$c[0]*$d[1]-$b[1]*$c[ ...
+ ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
+ CategoryInfo          : OperationStopped: (:) [], ArgumentOutOfRangeException
+ FullyQualifiedErrorId : System.ArgumentOutOfRangeException
 

strace