Answer: 180 cm²
Step-by-step explanation:
You calculate the surface area of the prism as following:
1- The surface area of both right triangles:
[tex]SA_{t}=2(\frac{b*h}={2}= 2(\frac{12cm*5cm}{2})=60cm^{2}[/tex]
(The sum of the surface area of both triangles).
2- The surface area of the rectangles:
[tex]SA_1=5cm*4cm=20cm^{2}\\SA_2=4cm*13cm=52cm^{2}\\SA_3=12cm*4cm=48cm^{2}[/tex]
3. Add all the areas.
The result is:
[tex]SA=60cm^{2}+20cm^{2}+52cm^{2}+48cm^{2}=180cm^{2}[/tex]
