Answer:
990.4 cm²
Explanation:
You want the surface area of an equilateral triangular prism with all edge lengths 16 cm. The height of the triangle is given as 13.9 cm.
Area
The area of the prism is the sum of the areas of the two triangular bases and the three square faces. The area of one base triangle is ...
A = 1/2bh
A = 1/2(16 cm)(13.9 cm)
There are two of these, so their total area is ...
B = 2(1/2)(16 cm)(13.9 cm) = (16·13.9) cm²
The 3 square faces have a total lateral area of ...
LA = 3(s²) = 3(16 cm)² = (16·48) cm²
Total
The total of these areas is ...
(16·13.9) +(16·48) cm² = 16(13.9 +48) cm² = 990.4 cm²
The surface area of the prism is 990.4 cm².
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