SOLUTION: Find the total surface area of a right prism whose bases are regular hexagons with sides 12 millimeters long and whose height is 10 mm.

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Question 1077400: Find the total surface area of a right prism whose bases are regular hexagons with sides 12 millimeters long and whose height is 10 mm.
Answer by ikleyn(52787) About Me  (Show Source):
You can put this solution on YOUR website!
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The total surface area in this case is the sum of the lateral surface area and the areas of two bases. 

1.  The base area is six times the area of one single equilateral triangle with the side length of 12 millimeters.

    The area of one such equilateral triangle is %281%2F2%29%2A12%2A%28%2812%2Asqrt%283%29%29%2F2%29 = 36%2Asqrt%283%29.

   (12 millimeters is the base and %2812%2Asqrt%283%29%29%2F2 is the height of such a triangle).

   So, the area of two bases is 72%2Asqrt%283%29 millimeters squared.



2.  The lateral area of the prism is six times the area of one (each) single lateral face, which is a rectangle 
    with dimensions 12 millimeters and 10 millimeters.



3.  Having these hints you can easily complete the solution on your own.


You have this free of charge online textbook on Geometry
    GEOMETRY - YOUR ONLINE TEXTBOOK
in this site.


On surface area of solid 3D bodies see the section Surface area of 3D solid bodies of this online textbook.