Answer: Area of Prism = 312 in²
Explanation:
Formula for triangular prism:
Surface Area = Ph + 2B
P = perimeter of Base(triangle)
For perimeter we need to find what the length of that leg of base is.
Use pythagorean
c² = a² + b²
10² = 8² +b²
100 = 64 + b²
100 - 64 = b²
b² = 36
b = 6
P = 6 +`10 + 8
P = 24
h = height of the prism = 11
B = Area of the base, triangle
B = 1/2 b h >this height is just for triangle not prism
B = 1/2 (8)(6)
B = 24
Area of Prism = Ph + 2B
Area of Prism = (24)(11) +2(24)
Area of Prism = 264 + 48
Area of Prism = 312 in²