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Home > CCG > Chapter 9 > Lesson 9.1.3 > Problem 9-34

9-34.

A regular hexagonal prism has a volume of and the base has an edge length of cm. Find the height and surface area of the prism.  Homework Help ✎

Start by finding the area of the base of the prism

Divide the hexagon into six triangles.

Find by dividing the central angle of the hexagon by .

 

Divide the triangles in half to make two right triangles.

Solve for unknown angles. Is this a special triangle?

 

When you find the area of the triangle, multiply it by in order to find the area of the hexagon.

 


Once you have the height of the prism, you have all the information necessary to find the surface area.