3sides prism

The base of 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 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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Tips to related online calculators
Pythagorean theorem is the base for the right triangle calculator.
See also our trigonometric triangle calculator.

We encourage you to watch this tutorial video on this math problem: video1   video2   video3

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