You don't really need the part with the rectangle:
The surface area of a rectangular prism is:
2ab + 2bc + 2ac
Make A = 10
B = 4
C = 4
You can set those as anything, it just makes doing the formula easier.
(2)(10)(4) + (2)(4)(4) + (2)(10)(4)
80 + 32 + 80
160 + 32
192 is the surface area.