What is the formula for the surface area of a hexagonal prism?
Assuming a regular hexagon....
The area of a hexagon can be found by looking at it as two trapezoids
The formula for the area of a trapeziod is , therefore the formula for the area of a hexagon is obtainable by doubling this area.
next look at the net of the shape
From this we can get the formula of the prism as , but this only works if all sides of the hexagon are equal
A regular hexagon of side length has an area of . This can be derived a few different ways. One way is to observe that a regular hexagon is really just two trapezoids with bases of and and heights of . So, .
A parallelogram of height and with a base of length has area .
Now, a hexagonal prism consists of six parallelograms and two hexagonal bases. If the base is regular, then the surface area would be
,
where is the length of one side of the base and is the height of the prism. For non-regular bases, you will have to alter the formula.