Respuesta :

Answer:

bh + 3lw

Step-by-step explanation:

A triangular prism is made up of two opposite rectangular surface, two opposite triangular surfaces and its rectangular base.

Area of a triangle = [tex]\frac{1}{2}[/tex]bh

where b is its base, and h is the height.

Total surface area of the two triangular surfaces = [tex]\frac{1}{2}[/tex]bh + [tex]\frac{1}{2}[/tex]bh

                                                     = bh

Area of rectangle = lw

where l is the length and w its width.

The surface area of the rectangles = lw + lw + lw

                                                       = 3lw

Thus,

Total surface area for a triangular prism = bh + 3lw