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OpenStudy (anonymous):
The weight of a piece of crystal in the form of a regular dodecahedron is 360 lbs., and each of its edges is 10 inches long. What is the weight of a similar piece of crystal whose edge edge measures 16 in.?
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hartnn (hartnn):
for same density, weight is proportional to volume and volume is proportional to cube of side. hence, weight is proportional to cube of side W1/W2 = S1^3/S2^3 360/W2 = (10/16)^3 u get W2=1474.56
OpenStudy (anonymous):
thanks!
hartnn (hartnn):
welcome ^_^
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