Solution:
Given the figure below:
The surface area of the figure (square base prism) is expressed as
[tex]\begin{gathered} surface\text{ area = 2A}^2\text{+4AH} \\ where \\ A\Rightarrow base\text{ edge} \\ H\Rightarrow height \end{gathered}[/tex]
From the above figure, we have
[tex]\begin{gathered} A=11\text{ cm} \\ H=12\text{ cm} \\ A\text{ = 2\lparen11\rparen}^2+4(11\times12) \\ =2(121)+2(132) \\ =242+528 \\ =770\text{ cm}^2 \end{gathered}[/tex]
Hence, the surface area of the figure is
[tex]770\text{ cm}^2[/tex]
The correct option is D
