This is a puzzle! Unless you are into this, it should be a neat exercise in internet research. It is being reposted because of questions seeking additional information. All responders to the earlier version were incorrect and ineligible for this one.
Complete Statement of the Problem: A regular convex solid has multiple (flat) faces and 2 inch edges. Five faces meet at each of twelve vertices. Compute the surface Area and Volume and name the solid.
First correct answer for A and V wins. Submit numerical answers to the question. (I can handle up to 12 digits plus a decimal point in the answer.) Don't ask or email me questions. Don't provide information (such as the name of the solid) that can tip off earlier answerers to something they may have missed.
To my knowledge, there is only one solid that meets the criteria. Your first submission is your answer. Emailed submissions disqualify the answerer - keep your answer where everybody can see it.
(More to follow)
2007-06-10
04:51:11
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3 answers
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asked by
davec996
4
in
Science & Mathematics
➔ Mathematics
I'll post the answer when someone wins. The time of your answer will be the time Yahoo puts on the message informing me of your response. It's not fair to change your answers once submitted.
Do you believe all the restrictions I've had to put on the problem to make it fair?
2007-06-10
04:52:27 ·
update #1
SOLUTION: The figure is an Icosahedron. It has 20 triangular faces, twelve vertices and 30 edges. Formulas for computing A and V are at: http://en.wikipedia.org/wiki/Icosahedron and many other places on the web.
Struct_engin had the area correct, but seemed to use an estimator for volume. Jeff on the other hand apparently knew or found the formulas and computed both correctly. I chose him as the winner.
2007-06-10
17:53:15 ·
update #2