Is there a way to calculate the Area and Volume for a given GeometryModel3D?
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There isn't for this class type. You can solve this using general math, though. See this stack overflow question:
Volume of a 3D closed mesh car object
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...

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