Answer:
582 cm²
Explanation:
You want the area of the figure represented by the given net.
Area
The surface area of the cuboid is the sum of the areas of the rectangles shown in its net. Working top down and left to right, that sum is ...
A = ∑LW
A = (13)(10) +(10)(7) +(13)(7) +(10)(7) +(13)(10) +(13)(7)
A = 2(13(10) +10(7) +13(7)) = 2(130 +70 +91) = 2·291 = 582
The surface area of the right rectangular prism is 582 square centimeters.
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Additional comment
The formula can be shortened to ...
A = 2(LW +H(L +W))
A = 2(13·10 +7(13 +10)) = 2(130 +161) = 582
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