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Find the total surface area of the figure.

 

 Apr 12, 2020
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Since the two bases are regular hexagons, they can be divided into 6 equilateral triangles.

If the height of an equilateral triangle is 3·sqrt(3), its base is 6 and its area = ½·6·3·sqrt(3) = 9·sqrt(3).

Therefore the area of the regular hexagon = 6·9·sqrt(3)  =  54·sqrt(3).

Doubling this to get the area of both bases = 108·sqrt(3).

 

Each side is a rectangle whose area is 6·8  =  48.

For all 6 sides:  6·48  =  288.

 

Total surface area  =  108·sqrt(3) + 288.

 Apr 12, 2020

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