9514 1404 393
Answer:
608 cm²
Explanation:
The central rectangle is 10+12+10 = 32 cm high and 16 cm wide. Its area is ...
A = LW = (32 cm)(16 cm) = 512 cm²
Each of the two triangles on the side have an area of ...
A = 1/2bh = (1/2)(12 cm)(8 cm) = 48 cm²
There are two triangles and one rectangle, so the total surface area is ...
total area = rectangle area + 2 · triangle area
total area = 512 cm² +2(48 cm²) = 608 cm²