Answer:
608cm^2 (B)
Explanation:
The question is incomplete without the diagram as this will ensure an accurate answer is given to the question.
Find attached the diagram used in solving the question.
Using the labelled diagram, we would find the surface area of the triangular prism.
Area of triangular prism = area of A + area of B + area of C + area of D + area of E
Shape of A and B are a triangles
Area of A = 1/2 × base × height
= 1/2 × 12 × 8 = 48cm^2
Area of B = Area of A = 48cm^2
Shape of C , D and E are rectangles
Area of C = Area of E (they have same width)
The width is the slant length = hypotenuse (hyp) of the triangle
To get the hypotenuse, we would apply Pythagoras theorem as can see from the diagram it is a right-angled triangle.
Opposite (opp) = 8cm
Adjacent (adj) = 12/2 = 6cm
Hyp^2 = opp^2 + adj^2
Hyp = √(8^2 +6^2) = √(64+36) = √100
Hyp = 10cm
Hypotenuse = width = 10cm
Area = length × width
Area = 16×10 = 160cm^2
Area of C = 160cm^2
Area of E = 160cm^2
Area of D = length × width
= 16×12 = 192cm^2
surface area of the triangular prism = 48+48+160+160+192
surface area of the triangular prism =608cm^2