Answer:
The surface area of the figure is 412 cm2.
Step-by-step explanation:
To determine the total surface area of a prism, the following formula must be applied: perimeter of the base x height + 2 x area of the base = total surface area. Thus, the calculations of the blue prism must be carried out and then add the sides of the red figure that do not coincide with it:
Blue figure:
(12 x 2 + 2 x 2) x 10 + 2 x (12 x 2) = X
(24 + 4) x 10 + 2 x 24 = X
28 x 10 + 48 = X
280 + 48 = X
328 = X
Red figure:
3 x 8 = 24 x 2 = 48
3 x 6 = 18 x 2 = 36
328 + 48 + 36 = X
376 + 36 = X
412 = X
Therefore, the surface area of the figure is 412 cm2.
