Answer: 76 ft²
Explanation:
Surface area for the prism = all the area's from the net added up.
Area triangle = 1/2 bh b=base, we need to find h, height=C=8
Use pythagorean to find base
c²=a²+b2
D² = C² + b²
10² = 8² + b²
b² = 100-64
b² = 36
b = 6
Area triangle = 1/2 (6)(8)
Area triangle = 24
Area of top rectangle = LW
L, length = A = 2
W, width = C = 8
Area of top rectangle = (2)(8)
Area of top rectangle = 16
Area of bottom rectangle = LW
L, length = A = 2
W, width = B = 6
Area of bottom rectangle = (2)(6)
Area of bottom rectangle = 12
Surface Area = 2(triangle) + (top rectangle) + (bottom rectangle)
Surface Area = 2(24) +16 +12
Surface Area = 48 +28
Surface Area = 76 ft²