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Answer:

696.8 mm^2

Step-by-step explanation:

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The surface area of figure  is  696.8[tex]mm^{2}[/tex].

To understand more, check below explanation.

Surface area of figure:

The given figure is combination of a triangular shape and cuboid.

We have to find surface area of given figure.

The surface area of combined figure is summation of area of four triangle and area of cuboid excluding top of cuboid.

The base of triangle = 13mm

Height of triangle = 10.3 mm

Area of 4 triangle [tex]=4*\frac{1}{2}*13*10.3=267.8mm^{2}[/tex]

Surface area of cuboid excluding top is computed as,

              Area = (2*13*5) + (2*13*5) + (13 * 13)

              Area = 130 + 130 + 169 = 429 square millimeters.

Hence, surface area of figure = 267.8 + 429 = 696.8[tex]mm^{2}[/tex]

Learn more about the surface area here:

https://brainly.com/question/76387