Answer:
The answer to your question is 204 cm²
Step-by-step explanation:
Process
1.- Calculate the area of the first rectangle from up.
Area = base x width
         = 10 x 5
         = 50 cm²
2.- Calculate the area of the middle rectangle
Area = 10 x 8
         = 80 cm²
3.- Calculate the area of the lowest rectangle
Area = 10 x 5
         = 50 cm²
4.- Area of the rectangular faces 
Area = 50 + 80 + 50
         = 180 cm²
5.- Calculate the area of the triangles
Area = base x height / 2
         = 8 x 3 /2
         = 24/2
         12 cm²
6.- Area of the triangles
Area = 12 + 12
         = 24 cm²
8.- Total area 
Total area = 180 + 24
                  = 204 cm²