I have a quick question about FreeSurfer: is cortical volume the product of 
cortical thickness and cortical surface are? Conceptually I assume that to be 
the case, and I found several papers to support that. However, when I tried it 
with my own data, that seems to disagree with ~12% error.

So I took a deeper look from your website and use the data from your following 
page as a test:
https://surfer.nmr.mgh.harvard.edu/fswiki/FsTutorial/AnatomicalROI_tktools

(#StructName/  SurfArea/  GrayVol/  ThickAvg/  Surface*Thick)
(bankssts/  1133/  2693/  2.331/  2641)
(caudalanteriorcingulate/  805/  2396/  2.657/  2139)
(caudalmiddlefrontal/  2205/  6275/  2.528/  5574)
(cuneus/  1597/  3129/  1.806/  2884)
(entorhinal/  403/  1837/  3.268/  1327)

The above results are took directly from your website and the last column is 
the product of the surface are and thickness (calculated by me), Theoretically 
the Gray volume should agree with the product of surface area and the 
thickness. However, the results above showed about 10.8% error. So I was 
wondering is my hypothesis of "cortical volume is the product of cortical 
surface area and cortical thickness" wrong or am I missing something here? What 
should the relationship be between cortical surface area, cortical thickness, 
and cortical volume?
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