Respuesta :

Answer:

The total surface area of triangular  prism

                           A = 232 foot²

Step-by-step explanation:

Explanation:-

 Given bases of prism 5 f t , 5 f t , 7 f t

The perimeter of the sum of the bases

P = 7 + 5 +5 = 17 f t

Lateral surface area =perimeter X height

                                = 1 7 × 8

                               = 136 f t²

Base area of the triangular prism = [tex]\frac{1}{2} h ( b_{1} + b_{2} ) = \frac{1}{2} 8 ( 5 +7) =48[/tex]

The total surface area of triangular  prism

                             [tex]A = p h + 2 Base Area[/tex]

                             [tex]A = p h + 2 Base Area = 136 + 2 ( 4 8 ) = 232[/tex]

The total surface area of triangular  prism

                           A = 232 foot²