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