SOLUTION: What is the surface area of a hexagonal prism with an apothem of 3 a height of 4 and a side being 2

Question 868046: What is the surface area of a hexagonal prism with an apothem of 3 a height of 4 and a side being 2
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
Apothem is defined for regular polygons as the distance from a side to the center of the polygon.
A regular hexagon with a side of has an apothem of = approximately . It could not have an apothem of .

For a regular polygon, the area can be calculated as .
A hexagon with a side of has a perimeter of
and a surface area of approximately .
The lateral area of a right prism can be calculated as .
A hexagonal base prism with a perimeter of and a height of
has a lateral area of .
Adding that lateral area plus the area of the two hexagonal bases, we get a total area of
.

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