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Hi Eric,
If you add all of the contributions from the integration points, then you should get the total volume of the element. e.g., this is the print out of a 2x2x2 hex element with 8 integration points (which we would expect the volume to be 8 units^3):
element num          1
 int point num          1
 vect2 value 0.999999999999100   Â
 element num          1
 int point num          2
 vect2 value 0.999999999999100   Â
 element num          1
 int point num          3
 vect2 value 0.999999999999100   Â
 element num          1
 int point num          4
 vect2 value 0.999999999999100   Â
 element num          1
 int point num          5
 vect2 value 0.999999999999100   Â
 element num          1
 int point num          6
 vect2 value 0.999999999999100   Â
 element num          1
 int point num          7
 vect2 value 0.999999999999100   Â
 element num          1
 int point num          8
 vect2 value 0.999999999999100