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Respuesta :

Answer:

152 sq in

Step-by-step explanation:

Surface area just means to find the area of all of the sides of a shape. This triangular prism has been flattened so you can see both bases (triangles) and all three lateral sides (rectangles)

Area of a triangle is:

A = 1/2 b•h

= 1/2 •8•4

= 16

There are 2 of these triangles.

A_bases = 32

Then there are 3 rectangle sides, area of a rectangle is:

A = l × w (or b•h)

6 × 5 = 30

6 × 8 = 48

6 × 7 = 42

Add up all the areas.

32 + 30 + 48 + 42

Total surface area is:

A = 152 sq in