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Conclusion

The hypothesis that copper wire  is the best thermal conductor and steel wire  is the worst  among the 3 types of wire, is proven to be true.

The concept of thermal conductivity can be applied to produce better cookware for cooking food and boiling water. When a pot is placed on a stove, thermal energy is transferred from the fire to the metal pot and eventually to the food and water. Materials with poor thermal conductivity can be used as thermal insulators.

Also consider

Try to repeat the experiment using different metals like brass, nickel or zinc.

The experiment can also be repeated using  different lengths and diameters of wire.

References

Thermal conductivity - http://en.wikipedia.org/wiki/Thermal_conductivity

Thermal conductivity of metals - http://www.engineeringtoolbox.com/thermal-conductivity-metals-d_858.html

What is thermal conduction? - http://www.wisegeek.com/what-is-thermal-conduction.htm

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Complexity level:
7
Project cost ($):
30
Time required:
1 hour to prepare, 1 hour for the science project experiment
Material availability:
Easily found at a hobby store
Safety concerns:

Handle boiling water very carefully – adult assistance is required.