Find the total surface area of the prism.
7 ft
8 ft
5 ft
5 ft
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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