The Nature of Mathematics, 12th Edition
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Section 9.3 Homework Hints

    Problems 1-3
    There are many problems throughout the text labeled IN YOUR OWN WORDS. Just relax; do not be afraid to give your opinion. For the most part, these questions do not have "right" or "wrong" answers. You should spend about five minutes in answering each of these questions.
    Problems 4-6
    For these problems, idenitfy the larger and smaller items.
    Problems 7-8
    Count the number of cubes to use the definition of volume. See Example 4.
    Problems 9-12
    To find the volume of a cube, cube the length of the side.
    See Example 5a.
    Problems 13-16
    To find the volume of a box, find the product of the length, the width, and the length. See Examples 4 and 5.
    Problems 17-21
    Look at the gradiations on the measuring cup. See Example 7.
    Problems 22-29
    These problems are designed to help you estimate capacity. Don't be afraid to guess, check, and then revise, if necessary. You might also want to look at Example 3.
    Problems 30-32
    These problems are testing your knowledge of the metric system.
    Problems 33-34
    First find the volume of the pool, and then calculate its capacity.
    See Example 9.
    Problems 35-40
    See Example 1; calculate the areas of each of the faces and then add these areas. Note the top is included in three of these problems, and is excluded in the other three.
    Problems 41-43
    Find the area of the cylinder and add the area of the bottom. See Example 2b.
    In Problem 43, and pay attention to the units. The radius is in inches and the height is measured in feet.
    Problems 44-46
    See Example 1; calculate the areas of each of the faces and then add these areas.
    Problems 47-54
    Choose the appropriate formula to find the requested capacity. See Example 8.
    Problems 55-58
    Read each problem carefully and be sure you are answering the question that is askeD. See Example 6.

    Note: Homework Hints are given only for the Level 1 and Level 2 problems.

    However, as you go through the book be sure you look at all the examples in the text. If you need hints for the Level 3 problems, check some sources for help on the internet (see the LINKS for that particular section. As a last resort, you can call the author at (707) 829-0606.

    On the other hand, the problems designated "Problem Solving" generally require techniques that do not have textbook examples.

    There are many sources for homework help on the internet.

    Algebra.help
    Here is a site where technology meets mathematics. You can search a particular topic or choose lessons, calculators, worksheets for extra practice or other resources.
    http://www.algebrahelp.com/

    Ask Dr. Math
    Dr. Math is a registered trademark. This is an excellent site at which you can search to see if your question has been previously asked, or you can send your question directly to Dr. Math to receive an answer.
    http://mathforum.org/dr/math/
    Quick Math
    This site provides online graphing calculators. This is especially useful if you do not have your own calculator.
    http://www.quickmath.com/

    The Math Forum @ Drexel
    This site provides an internet mathematics library that can help if you need extra help. For additional homework help at this site, click one of the linksęin the right-hand column.
    http://mathforum.org/

    Mathematics Home Page
    Access the Clemens and Alcuins Library of CSB/SJU and find one of the world's best collections of mathematical internet sites.
    http://library.csbsju.edu/rqs.phtml?subject_id=32

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