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Math Forum » Discussions » Math Topics » geometry.pre-college.independent

Topic: Real-Life Problems
Replies: 4   Last Post: Jan 29, 1996 4:50 AM

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Ben Preddy

Posts: 41
Registered: 12/3/04
Re: teaching geometry by starting with 'REAL-LIFE' problems
Posted: Jan 28, 1996 4:43 AM
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Monika, and others
One real-life problem I give my students... I hired a contractor to
redo my dirveway. He installed a drain box with 4"PVC pipe to carry
rainwater to another part of my property. He was concerned about the
large volume of water that could run down my driveway and had a special
drainbox made with two 4" diameter exits. I asked him if he considered
only one 6" drain pipe. He said that two 4" pipes would carry more. Was
he correct? (It cost him more in labor and materials to install two pipes
than one, and more to have a drainbox made with two holes. In what ways
can a persons knowledge of math/geomwtry effect their ability to be
successful?)
Extensions:
1. What diameter pipe could be used to just equal (2) 4" pipes?
2. Suppose he considered two pipes of 6" diameter. What size should
he use if he used onlyone pipe instead?
3. Is there a pattern here? How can you generalize you results?






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