Answer:
[tex]60\:\mathrm{cm^2}[/tex]
Step-by-step explanation:
The total surface area of a figure can be found by adding the areas of the 2D shapes that make up the surface of it.
In this case, we can add up the areas of the square, two rectangles, and two triangles that make the figure up.
[tex]A=4\cdot 4 +4\cdot 3+4\cdot 5+\frac{1}{2}\cdot 2\cdot 3\cdot 4,\\A=16+12+20+12,\\A=\boxed{60\:\mathrm{cm^2}}[/tex]
