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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.

Volume = (area of the base)(height)

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