Question

Question #a2291

Answer 1

See below.

Explanation:

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!