*see attachment for the diagram of the triangular prism box
Answer:
528.8 in.²
Step-by-step explanation:
Surface area of triangular prism = 2(BA) + P*H
Area of triangular base (BA) = ½*b*h
b = 24.5 in.
h = 12 in.
BA = ½*24.5*12 = 147 in.²
Perimeter of triangular base = 24.5 + 17.1 + 17.1 = 58.7 in.
Height of prism = 4 in.
Plug in the values into the surface area formula:
Surface area of prism = 2(147) + 58.7*4
= 294 + 234.8
= 528.8 in.²
