Chapter 12.1, Problem 22WE

To determine

To draw: the prism.

Explanation of Solution

Given information:

Regular hexagon with side $8$ , $h=12$

Graph: the Regular hexagon with side $8$ , $h=12$

Now to draw a prism first make its base as a triangle and then sketch the length of $10$ triangle from its each point,

Thus, the prism can be obtained as:

  

Interpretation: form the above graph and side and height it can be observed that the lateral area of the prism is $576$ and total area is $576+192\sqrt{3}$ and volume is $1152\sqrt{3}$ .