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

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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) ~>