What is the density of a sugar cube whose mass is #0.50*g#, and whose edge length is #1.5*cm#?

1 Answer
anor277
Aug 15, 2017

#"Density"="Mass"/"Volume"=0.15*g*cm^-3#.

Explanation:

And thus #rho_"sugar cube"=(0.5*g)/(1.5*cmxx1.5*cmxx1.5*cm)#

#=0.15*g*cm^-3#

While it is bit of a pfaff to include the units in these types of calculation, note that it gave us units that are consistent with units of density, i.e. #"mass"/"volume"=g*cm^-3# or #g*mL^-1#, and thus it is a check on our calculations. It is all too easy to divide instead of multiply or vice versa, and totally botch the answer.

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