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Is there a way to calculate the Area and Volume for a given GeometryModel3D?

+1  A: 

There isn't for this class type. You can solve this using general math, though. See this stack overflow question:

http://stackoverflow.com/questions/1410525

It seems DarenW may have a useful answer for you.

Note that your mesh must be perfectly closed for this calculation to even make sense.

Also, what is "area" of a 3D object? Surface area? If so, just take every triangle, find the area, and sum them...

Merlyn Morgan-Graham