To find the total surface area of this figure, we first need to determine the surface area of each individual shape and then sum them up.
The figure consists of a rectangular prism (10mm x 16mm x 8mm), a rectangular pyramid (base 6mm x 6mm, height 2mm), and another rectangular prism (6mm x 6mm x 2mm).
1. Rectangular Prism: Surface Area = 2lw + 2lh + 2wh
Surface Area = 2(10)(16) + 2(10)(8) + 2(16)(8)
Surface Area = 320 + 160 + 256 = 736 mm^2
2. Rectangular Pyramid: Surface Area = Base Area + 1/2(pl)
Base Area = 6 * 6 = 36 mm^2
Surface Area = 36 + 1/2(6*2) + 1/2(6*2) + 1/2(6*6) = 36 + 6 + 6 + 18 = 66 mm^2
3. Second Rectangular Prism: Surface Area = 2lw + 2lh + 2wh
Surface Area = 2(6)(6) + 2(6)(2) + 2(6)(2)
Surface Area = 72 + 24 + 24 = 120 mm^2
Total Surface Area = 736 + 66 + 120 = 922 mm^2
Therefore, the total surface area of the figure is 922 mm^2.