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Question Description

I need an explanation for this Mathematics question to help me study.

How do i estimate the surface area of a triangular prisim

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Final Answer

Triangular based prism 

Base shape: Triangle: base 'b', height 'h', and sides S1, S2 and S3 
Area of base: ½b×h 
Perimeter of base: S1+ S2 + S3 

So, the formula is 
Surface area= 2*(area of base) + (base perimeter)*(prism height) 
Or 
Surface area = bh + (S1+ S2 + S3)H 
where 
b=Triangle base 
h=Triangle height 
S1=Side 1 of triangle 
S2=Side 2 of triangle 
S3=Side 3 of triangle 
H=Prism height 

Example: 
A prism have right triangle base. 
The triangle sides are as following: (3 m, 4 m, 5 m) 
The prism height is 10 m. 
Find the surface area of the prism. 

Answer: 
Triangle base=3 m 
Triangle height=4 m 
Prism height=10 m 
Perimeter=(3+4+5)m=12 m 
Surface area=bh + (S1+ S2 + S3)H 
Surface area=3(4)+12(10) m^2 
Surface area=132 m^2

Purdue University

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