**Chapter 12 **

**Volume and Surface
Area**

**
**

Once you know how to draw these solids, you can combine them to draw all sorts of 3-dimensional objects, such as furniture, houses, and even castles! The photograph below is a castle called Laussel, at Marquay, in the Perigord region of France.

This beautiful photo came from a fascinating website with images and information about many castles. If you would like to visit this website, click on the link below:

This and many other castles are made up of geometric solids. Can you find prisms, pyramids, cones and cylinders in the photograph? You can draw castles using a combination of these geometric solids. An example of a simple castle, drawn in Adobe SuperPaint, is shown below:

Here is another example of a castle. This castle was constructed in perpsective, using the Geometer's Sketchpad. You can construct castles using a compass and ruler, or on tracing paper over a grid.

**Project**

Do some research on the net, and find some other images of castles. Read some information about the castles, and explore any aspects that interest you. Then design and create a 3-D drawing of your own castle, using geometric solids. It would be best to draw on a piece of tracing paper over a perspective grid, which you can print from the following web page: 2 Point Perspective Grid

You must have at least one each of the four solids we have studied: Prism, pyramid, cylinder, cone. Then find the volume of the solid portions of your castle. Be sure to write all formulas, and show all your work!