What is the surface area of this shape?
2 answers:
Step-by-step explanation:
Hey there!
Given figure is a triangular based prism. Where the triangle is right angled triangle.
So,
Hypotenuse (h) = 6.5m
Perpendicular (p) =2.5 m
Base (b) = 6m
Length of triangular prism (l) = 10m.
We have;
Lateral surface area= Perimeter*length of prism.
LSA = (6.5+2.5+6) * 10
LSA = 15*10
Therefore, LSA of the shape is 150 m².
Now, Area of base=( 1/2 )*b*p
= (1/2)*(6*2.5)
= 7.5 m²
Therefore, area of base = 7.5 m²
Now, TSA= 2*Area of base+LSA
= (2*7.5 + 150) m²
= 165 m²
Therefore, the Total surface area is 165 m².
Hope it helps....
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