CPM Homework Banner

Home > CCG > Chapter 9 > Lesson 9.1.3 > Problem 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.  

Start by finding the area of the base of the prism

A regular hexagon with a base of 14 centimeters.

Divide the hexagon into six triangles.

Find by dividing the central angle of the hexagon by .


A triangle A, B, C, where B, C = 14.

Divide the triangles in half to make two right triangles.

Solve for unknown angles. Is this a special triangle?


Triangle A prime, B prime, D prime where B prime D prime is 7.

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.