To find the total surface area of the figure, we need to calculate the surface area of each rectangular prism and then add them together.
Surface area of the larger rectangular prism:
- Front and back faces: 6mm x 6mm = 36mm^2 x 2 = 72mm^2
- Top and bottom faces: 6mm x 10mm = 60mm^2 x 2 = 120mm^2
- Left and right faces: 6mm x 10mm = 60mm^2 x 2 = 120mm^2
Total surface area of larger rectangular prism = 72mm^2 + 120mm^2 + 120mm^2 = 312mm^2
Surface area of the smaller rectangular prism:
- Front and back faces: 6mm x 8mm = 48mm^2 x 2 = 96mm^2
- Top and bottom faces: 6mm x 10mm = 60mm^2 x 2 = 120mm^2
- Left and right faces: 6mm x 8mm = 48mm^2 x 2 = 96mm^2
Total surface area of smaller rectangular prism = 96mm^2 + 120mm^2 + 96mm^2 = 312mm^2
Total surface area of the figure = 312mm^2 + 312mm^2 = 624mm^2
Therefore, the total surface area of the figure is 624 square millimeters.