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(Math) Length, Perimeter, Area, Volume

 
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adedios
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Joined: 06 Jul 2005
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Location: Angel C. de Dios

PostPosted: Tue Feb 14, 2006 8:53 am    Post subject: (Math) Length, Perimeter, Area, Volume Reply with quote






Source: University of Chicago Press Journals

Posted: February 13, 2006

Which Holds More: A Tall, Thin Glass Or A Short, Fat One?

A fascinating new study from the March 2006 issue of the Journal of Consumer Research explores how our senses interact to gauge volume, with important implications for perception of consumer products and consumption patterns. Specifically, the article argues that "elongation effect" -- the common tendency to think that a tall, thin glass holds more than a short, stout glass of equal volume -- is reversed when touch is used instead of sight to evaluate how much a container holds.

"We tend to focus on physical/product features and not so much on the sensory appeal of products and features," explains Aradhna Krishna (University of Michigan). "There is enormous scope for future research in marketing studying how different senses individually and through their interactions affect consumer perceptions, behavior, and choice."

For one portion of the study, subjects were blindfolded and asked to handle the two glasses. With the removal of sight, subjects perceived the shorter, wider glass to have a larger volume than the taller glass. This reversal was upheld in another portion of the experiment in which subjects were not blindfolded but introduced to visual distractions, including a series of 30-second advertisements.

"In movie theaters where patrons eat popcorn while watching the movie, the visual sense is loaded ... whereas the haptic sense (touch) is occupied for a long time holding the popcorn container," Krishna explains. "If only one type of container is to be sold by the theater, the shorter, fatter one may bring greater satisfaction to consumers."

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Questions to explore further this topic:

What is length?

http://library.thinkquest.org/3804/length.html

What is the meter?

http://www.mel.nist.gov/div821/museum/length.htm

Unit conversions for length

http://www.onlineconversion.com/length_common.htm
http://www.onlineconversion.com/length_metric.htm
http://www.aaamath.com/B/mea69x11.htm

What is relativistic length contraction?

http://www.glenbrook.k12.il.us.....el/lc.html

What is a perimeter?

http://www.mathgoodies.com/les.....meter.html
http://www.math.com/tables/geometry/perimeter.htm
http://www.mcwdn.org/Geometry/Perimeter.html
http://www.mathleague.com/help.....#perimeter
http://www.mathleague.com/help.....eofacircle
http://www.aaamath.com/B/geo78_x8.htm
http://www.aaaknow.com/geo78_x7.htm
http://www.aaaknow.com/geo78_x9.htm
http://www.aaaknow.com/geo612x4.htm
http://www.shodor.org/interact.....index.html

What is area?

http://en.wikipedia.org/wiki/Area_%28geometry%29
http://www.leeric.lsu.edu/bgbb/7/ecep/math/n/n.htm
http://www.mcwdn.org/Geometry/Area.html
http://clem.mscd.edu/~talmanl/MOOVs/FTOC/FTOC.mov
http://mason.gmu.edu/~mmankus/AreaLab/0Area2.htm
http://www.pbs.org/teachersour.....vity1.shtm
http://library.thinkquest.org/20991/geo/area.html
http://www-math.mit.edu/~djk/c.....ion01.html
http://modular.ucsd.edu/edu/wi.....node6.html

Square
http://www.aaaknow.com/geo78_x4.htm

Rectangle
http://www.aaaknow.com/geo78_x3.htm

Parrallelogram
http://www.aaaknow.com/geo78_x2.htm

Trapezoid
http://www.aaaknow.com/geo78_x5.htm

Triangle
http://www.aaaknow.com/geo78_x6.htm

Circle
http://www.aaaknow.com/geo612x2.htm

What is surface area?

http://www.math.unt.edu/mathla.....20Area.htm
http://www.intermath-uga.gatec.....termID=352
http://www.mathreference.com/ca-surf,intro.html
http://jwilson.coe.uga.edu/EMT......Area.html
http://www.glc.k12.ga.us/Build.....LPID=62749

Cube
http://www.aaaknow.com/geo79_x2.htm

Rectangular Prism
http://www.aaaknow.com/geo79_x9.htm

Cylinder
http://www.aaaknow.com/geo79x10.htm

Sphere
http://www.teacherschoice.com......area_2.htm


Perimeter and area, how are these related?

http://its.guilford.k12.nc.us/.....aperim.htm

What is volume?

http://en.wikipedia.org/wiki/Volume
http://www.abe.msstate.edu/~ft.....index.html
http://www.shodor.org/interact.....a_vol.html

Cube
http://www.aaaknow.com/geo79x10.htm

Rectangular Prism
http://www.aaaknow.com/geo79_x7.htm

Triangular Prism
http://www.aaaknow.com/geo79_x1.htm

Cone
http://www.aaaknow.com/geo79_x3.htm

Cylinder
http://www.aaaknow.com/geo79_x5.htm

Sphere
http://www.aaaknow.com/geo79_x8.htm

Pyramid
http://www.aaaknow.com/geo79_x6.htm

Length, perimeter, area, volume, how are these related?

http://standards.nctm.org/docu...../index.htm
http://www.tiem.utk.edu/~gross.....olume.html

GAMES

http://www.mcwdn.org/Geometry/PerimeterQuiz.html
http://www.mcwdn.org/Geometry/AreaQuiz.html
http://www.quia.com/jg/379267.html
http://argyll.epsb.ca/jreed/math9/strand3/3107.htm
http://www.math.tamu.edu/Appli.....boxsa.html
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