A 7 inch tall water glass is in the shape of a right regular hexagonal prism, If a side of the hexagon has length 2 inches, what is the total surface area in square inches of the outside of the glass?

1 Answer
Martha W.
Jul 11, 2017

#SA=94.4# sq in

Explanation:

#SA=B+L#
SA= Surface area
B=area of the base (since the glass is open at the top,only one B is added)
L= Lateral Surface Area=#p*H# (perimeter X height)

The area for an equilateral hexagon is 6X area of the equilateral triangle

#B=(s^2sqrt3)/4*6#

#B=6sqrt3# or #10.4# sq in

#L=pH=6*2*7=84# sq in

#SA=10.4+84=94.4# sq in

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