Question #a2291

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Answer 1 · 2017-09-25T01:35:12

See below.

This is the equation/formula you want to use:

#d=m/V#,

where #d# is density in #"k"*"gm"^-3#, #m# is the mass in #"kg"#, and #V# is the volume in #"m"^3#.

The first step is to convert #40 " g"# to #"kg"# using dimensional analysis:

#40" g"*((10^-3" kg")/(1" g"))=4.0*10^-2 " kg"#

Now, let's convert #16 " cm"^3# to #"m"^3# (this is where it gets tricky, pay close attention):

#16" cm"^3 * ((1" m")/(100" cm"))^3 = 1.6 * 10^-5 " m"^3#

Now, let's take these two values and plug them into our density formula mentioned above:

#d=m/V#

#d=(4.0*10^-2 " kg")/(1.6 * 10^-5 " m"^3)#

#d=2.5*10^2" kg"*"m"^-3#

I hope that helps!