Answer: a) 1,208 square centimeters
Step-by-step explanation:
The surface area would be the sum of the different areas separated in the figure.
The area of the front and back faces of the rectangular prism:
[tex]a*c*2=20*12*2=480cm^{2}[/tex]
The area of the top and the base of the rectangular prism:
[tex]a*e*2=20*8*2=320cm^{2}[/tex]
The area of the front and back faces of both triangular prisms:
[tex]\frac{d*c}{2}*4=\frac{5*12}{2}*4=30*4=120cm^{2}[/tex]
The area of the side faces of both triangular prisms:
[tex]e*b*2=8*13*2=208cm^{2}[/tex]
The area of the bases of both triangular prisms:
[tex]d*e*2=5*8*2=80cm^{2}[/tex]
Finally, the surface area of the whole figure:
[tex]480+320+120+208+80=1,208cm^{2}[/tex]
