here we are given a triangular prism and we are interested in finding its surface area .
The given prism comprises of 2 triangular faces and 3 rectangular faces . We can separately find the area and then add them up to find the resultant surface area.
Finding area of triangle:-
There are 2 triangles so the total area would be ,
Area = 2(ar. of one ∆)
Area = 2 ( 1/2 * base * height)
Area = 2 ( 1/2 * 16m * 5m )
Area = 80m²
Finding area of rectangle:-
Area = 3 ( length* breadth)
Area= 3 ( 17m * 10m)
Area = 3 * 170m²
Area = 510m²
Total area,
Net Surface area= area of rectangle+ area of triangle= (80+510)m² = 590m² [ required answer]
And we are done!