Surface Area and volume of the prism
1. Surface area of the prism
We see that this hexagonal prism has 6 lateral faces that are rectangles and 2 bases that are hexagons.
The lateral area of a prism is the sum of the areas of its lateral faces (6 rectangles).
The 6 lateral faces form a rectangle whose base is the perimeter of the hexagon of the base. Therefore, the lateral area of the prism is equal to the product of the perimeter of the base times the height.
Lateral area = perimeter of the base x height.
The total area is the sum of the lateral area plus the area of the two bases.
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