3sides prism

The base of a vertical prism is an isosceles triangle whose base is 10 cm, and the arm is 13 cm long. Prism height is three times the height of the base triangle. Calculate the surface area of the prism.

Correct answer:

S =  1416 cm2

Step-by-step explanation:

a=10 cm r=13 cm h2=r2(a/2)2=132(10/2)2=12 cm h=3 h2=3 12=36 cm  S1=a h2/2=10 12/2=60 cm2  S2=(2 r+a) h=(2 13+10) 36=1296 cm2  S=2 S1+S2=2 60+1296=1416 cm2



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