Determine the type of shape and dimensions of the platinum - iridium prototype kilogram such that it
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Question:
Determine the type of shape and
dimensions of the platinumiridium prototype kilogram such that it has the smallest
surface area for a given volume. The standard kilogram is an alloy of platinum and
iridium. Corrosion would affect the mass through chemical reaction; platinum and
iridium were chosen for the standards composition as they resist corrosion. To further
minimize corrosion, the shape should be chosen to have the least surface area. The less
area exposed to the external environment the less chemical change and hence change in
mass can occur.
The density of the alloy is You may want to consider the followingrho
kg
cm
questions. a Is there any reason that the surface area of the standard could be
important? b What is the appropriate density to use? c What shape that is sphere,
cube, right cylinder, parallelepiped, etc. has the smallest surface area for a given
volume? d Why was a rightcircular cylinder chosen?
Related Book For
Calculus For Scientists And Engineers Early Transcendentals
ISBN: 9780321849212
1st Edition
Authors: William L Briggs, Bernard Gillett, Bill L Briggs, Lyle Cochran
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