The surface area of the triangular prism is 135 feet squared
The surface area of a triangular prism is the sum of the area of the whole faces.
Therefore, it has 3 rectangular faces and two triangular faces
area of triangle = 1 / 2 bh
where
Therefore,
area of the triangle = 1 / 2 × 2.5 × 6 = 7.5 ft²
area of rectangle = lw
where
Therefore,
area of rectangle 1 = 8 × 2.5 = 20 ft²
area of rectangle 2 = 8 × 6 = 48 ft²
area of rectangle 3 = 8 × 6.5 = 52 ft²
Therefore,
surface area = 7.5 + 7.5 + 20 + 48 + 52 = 135 ft²
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