What is the surface area of a triangular Prism?
The surface area of a triangular prism is the area that is occupied by its surface. It is the sum of the areas of all the faces of the prism. Hence, the formula to calculate the surface area is Surface area = (Perimeter of the base × Length) + (2 × Base Area) = (a + b + c)L + bh.
What is given?
A=5
B=8
C=5
H=12
Solve the problem
A=2AB+(a+b+c)h
AB=s(s﹣a)(s﹣b)(s﹣c)
s=a+b+c/2
A=ah+bh+ch+1/2﹣a4+2(ab)2+2(ac)2﹣b4+2(bc)2﹣c4=5·12+8·12+5·12+12﹣54+2·(5·8)2+2·(5·5)2﹣84+2·(8·5)2﹣54=240
Answer
The surface area of the triangular prism is 240in²
I hoped this helped and if im wrong you have every right to report me <3