Geometry: The Next Dimension: Surfaces and Solids

The Next Dimension: Surfaces and Solids

Although you might be able to name a few two-dimensional objects, most of the objects you encounter in your day-to-day lives are three-dimensional. Even a page in a book has three dimensions: a length, a height, and a thickness.

Because geometry is useful in dealing with the objects you encounter in your day-to-day lives, it is necessary to spend some time talking about three-dimensional objects. Some of the most common three-dimensional objects are prisms, cylinders, cones, spheres, and pyramids. These are mathematical terms for sheets of paper, soda cans, dunce caps, marbles, and pyramids.

The basis of three-dimensional objects are two-dimensional shapes. You will take polygons and circles in one plane and connect them to other polygons, circles, or points that lie in a different (but parallel) plane. I like to think of this process as mathematical wing walking.

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Excerpted from The Complete Idiot's Guide to Geometry 2004 by Denise Szecsei, Ph.D.. All rights reserved including the right of reproduction in whole or in part in any form. Used by arrangement with Alpha Books, a member of Penguin Group (USA) Inc.

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