Take those dimensions, and subtract two times the thickness of your material from each. This will give internal dimensions:13X13X32 become 11.5X11.5X30.5
Do the math:
11.5^2X30.5 = 4033.625 cubic inches
Divide by 12^3(1728 - the number of cubic inches in a cubic foot) to get the number of cubic feet:
4033.625 / 1728 = 2.334273726851851852 or about 2 1/3 cubic feet.
Subtract displacement of woofer (Between 0.1 and 0.25 cf)
2 1/3 - 1/10 =~ 2 1/5 cube feet
This formula works for all boxes.
My latest one: 16^2x21.5 = 14.5^2X20 = 4,205. 4,205 / 1,728 = 2.43. 2.43 - 0.25(Woofer displacement) - 0.18 (Bracing) = 2.0 cf net.