Given :
To Find :-
- The total surface area of the prism .
Solution :-
From the given figure we can see that the prism is made up of
- 2 triangular surfaces .
- 3 rectangular surfaces .
And the base and height of each triangle is ,
- base = 7 inch
- height = 5 inch
And the dimensions of each rectangle is ,
- length = 13 inch
- breadth = 6.1 inch
Therefore , the Total surface area is ,
→ TSA = 2( area of each ∆) +3(area of each rectangle)
→ TSA = 2 ( 1/2 * 7 * 5)in.² + 3(13*6.1) in.²
→ TSA = 2 * 35/2 in.² + 3* 79.3 in.²
→ TSA = 35 in.² + 237.9 in.²
→ TSA = 272.9 ≈ 273 in.²
Hence the TSA of prism is 273 in.² .
I hope this helps.