The correct option is (c) 96 .
What is the surface area of the triangle prism?
- The following formula is used to determine a triangular prism's surface area:
- Surface area = (Perimeter of the base Length of the prism) + (2 Base Area) = (S1 + S2+ S3)L + bh,
- where b is the base triangle's bottom edge, h is its height, L is its length, and S1, S2, and S3 are its first, second, and third sides.
So, we apply surface area of the triangle prism formula,
Surface area = (Perimeter of the base × Length of the prism) + (2 × Base Area) = (S1 + S2+ S3)L + bh
put all the values in formula,
The lateral area is the product of the height of the prism (2 in) and the perimeter of the base (6 in +8 in +10 in), so is
Triangle Area = 6 * 8 / 2 = 24
Area of BOTH triangles = 48 inches²
The total area is the sum of these area
6 * 2 rectangle = 12 inches²
10 * 2 rectangle = 20 inches²
8 * 2 rectangle = 16 inches²
add all the sides ,
48 + 12 + 20 + 16 =96 inches²
Therefore, The correct option is (c) 96 .
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