Using it's concept, it is found that the surface area of the figure given in this problem is of 710.6 mm².
What is the surface area of a prism?
It is the sum of the areas of all faces of the prism.
In this problem, the prism is composed by:
- Two squares of sides 13 mm.
- Four rectangles of sides 5 mm and 13 mm.
- One triangle with measures in mm of [tex]b = 13, h = 10\sqrt{3}[/tex].
Hence, the areas in square millimeters are given by:
- [tex]A_s = 2 \times 13^2 = 338[/tex].
- [tex]A_r = 4 \times 5 \times 13 = 260[/tex].
- [tex]A_t = 0.5 \times 13 \times 10\sqrt{3} = 112.6[/tex]
Adding them, the surface area of the figure is given by:
S = 338 + 260 + 112.6 = 710.6 mm².
More can be learned about surface areas at brainly.com/question/26702574
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