Question

What is the surface area of the prism in square inches?

Answer 1

Answer:

Total area of the prism =$360\,inches^2$

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;

      $Length=12\,inches\\Width=10\,inches$

     Area= $Length\times Width$

       $=12\times 10\\Area =120\,inches^2$

For,

      $Length=10 inches\\Width=13 \,inches$

       $=10\times 13\\Area=130\,inches^2$

For,

      $Length=10\,inches\\Width=5\,inches$

        $=10\times 5\\Area= 50\,inches^2$

For, Two Triangles:

$Area= 2(\dfrac{1}{2}\times Base\times Height)\\\\Area=Base\times Height$

$Base=12\,inches\\Height=5\,inches$

$Area=12\times 5\\Area = 60\,inches^2$

Total area of the prism is :

       $=120+130+50+60\\\\=360\,inches^2$