9514 1404 393
Answer:
a. 1,128.8 m²
Explanation:
The total surface area is the sum of the areas of the two identical triangular bases and the areas of the lateral rectangles.
The two bases together have an area of ...
A = 2(1/2)(bh) = (10 m)(14 m) = 140 m²
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The lateral area is the product of the prism height and the perimeter of the triangular base.
LA = Ph = (10 m + 14 m + 17.2 m)(24 m) = (41.2·24) m² = 988.8 m²
Then the total area is ...
base area + lateral area = 140 m² +988.8 m² = 1128.8 m²
The total surface area of the prism is 1128.8 m².