# SOLUTION: A prism has two equal triangular bases. Explain how you would find the surface area of the Prism.

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 Geometry: Area and Surface Area Solvers Lessons Answers archive Quiz In Depth

 Question 85406This question is from textbook mathematis HSAP power : A prism has two equal triangular bases. Explain how you would find the surface area of the Prism. This question is from textbook mathematis HSAP power Answer by Nate(3500)   (Show Source): You can put this solution on YOUR website!Surface Area = 2 * Area of Triangle + 3 * Area of Rectangle Triangle = s by s by s Area of Rectange: s = side of triangle h = height of prism s * h = area of rectangle Area of Triangle: sqrt(3)*s / 2 = height of triangle s = base of triangle area of triange = (1/2) * base * height area of triange = (1/2) * s * sqrt(3)*s / 2 area of triange = s^2sqrt(3)/4 Surface Area: Surface Area = 2 * Area of Triangle + 3 * Area of Rectangle Surface Area = 2 * s^2sqrt(3)/4 + 3 * s * h Surface Area = s^2sqrt(3)/2 + 3sh Surface Area = s(sqrt(3)/2 + 3h) Surface Area = s(sqrt(3)/2 + 6h/2) Surface Area = s((sqrt(3) + 6h)/2) ~>