Answer:
Total area of the prism =[tex]360\,inches^2[/tex]
Step-by-step explanation:
The surface area of the prism is:
Area of the three rectangles+ Area of two triangles
Area of the rectangle:
For;
[tex]Length=12\,inches\\Width=10\,inches[/tex]
Area= [tex]Length\times Width[/tex]
[tex]=12\times 10\\Area =120\,inches^2[/tex]
For,
[tex]Length=10 inches\\Width=13 \,inches\\[/tex]
[tex]=10\times 13\\Area=130\,inches^2[/tex]
For,
[tex]Length=10\,inches\\Width=5\,inches[/tex]
[tex]=10\times 5\\Area= 50\,inches^2[/tex]
For, Two Triangles:
[tex]Area= 2(\dfrac{1}{2}\times Base\times Height)\\\\Area=Base\times Height[/tex]
[tex]Base=12\,inches\\Height=5\,inches[/tex]
[tex]Area=12\times 5\\Area = 60\,inches^2[/tex]
Total area of the prism is :
[tex]=120+130+50+60\\\\=360\,inches^2\\[/tex]
