A cube of compressible material (such as Styrofoam or balsa wood) has a density ρ and sides of length L.   a)If you keep its mass the same, but compress each side to 0.333 of its length, what will be its new density, in terms of ρ?   b)If you keep the mass and shape the same, what would the length of each side have to be (in terms of L) so that the density of the cube was 5.00 times its original value?

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
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Chapter15: Fluids
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A cube of compressible material (such as Styrofoam or balsa wood) has a density ρ and sides of length L.
 
a)If you keep its mass the same, but compress each side to 0.333 of its length, what will be its new density, in terms of ρ?
 
b)If you keep the mass and shape the same, what would the length of each side have to be (in terms of L) so that the density of the cube was 5.00 times its original value?
 
 
 
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