Step 1
The prism consist of two triangles of a height of 5cm and a base of 12cm, rectangles of dimensions of 5cm by 15cm, 12cm by 15cm, and 13cm by 15cm.
Step 2:
[tex]\begin{gathered} The\text{ area of the two triangles = 2 }\times\text{ }\frac{1}{2}\text{ }\times\text{ 5 }\times\text{ 12 = 60cm}^2 \\ \\ Area\text{ of the rectangles = 5}\times15\text{ + 12}\times15\text{ + 13}\times15 \\ =\text{ 75 + 180 + 195} \\ =\text{ 450cm}^2 \end{gathered}[/tex]
Step 3
Total surface area = 60 + 450 = 510
[tex]Total\text{ surface area = 510 cm}^2[/tex]
Final answer
C) 510
