<meta http-equiv="refresh" content="1; url=/nojavascript/"> Three Dimensions | CK-12 Foundation
Dismiss
Skip Navigation

Chapter 9: Three Dimensions

Created by: CK-12
 0  0  0

In the past you have used the formulas for the volume of cylinders, pyramids, cones, and spheres. Here, you will derive those formulas using Cavalieri's principle. You will also solve many different types of problems that utilize your knowledge of three dimensions including modeling problems, density problems, and design problems.

Chapter Outline

Chapter Summary

You learned that the formulas for the volume of cylinders, pyramids, cones, and spheres can all be derived using Cavalieri's principle. You also learned that two dimensional shapes and three dimensional objects are connected in many ways. Three dimensional objects have two dimensional cross sections. Also, two dimensional shapes can be rotated around lines to create three dimensional objects. 

You practiced modeling in three dimensions by choosing solids that best approximated real life objects and using your geometry knowledge about the solids to answer questions about the objects. You also explored density and design problems that were related to solids.

Image Attributions

Description

Grades:

Date Created:

Aug 27, 2013

Last Modified:

Aug 04, 2014
You can only attach files to None which belong to you
If you would like to associate files with this None, please make a copy first.
Please wait...
Please wait...
Image Detail
Sizes: Medium | Original
 

Original text