Question

What is the volume of an object that has a mass of 24 grams and a density of 6.6 g/mL?

Answer 1

`"3.6 mL"`

Explanation:

The density of a substance is a useful property because it tells us the mass of exactly one unit of volume of that substance.

In this case, the unknown object has a density of `"6.6 g/mL"`, which means that every milliliter occupied by this object will have a mass of `"6.6 g"`.

You are told that this unknown object has a mass of `"24 g"`. Since you already know that you get `"6.6 g"` for every `"1 mL"` of this object, which means that you can use the density as a conversion factor to help you find the volume that would have a mass if `"24 g"`

`24 color(red)(cancel(color(black)("g"))) * overbrace("1 mL"/(6.6color(red)(cancel(color(black)("g")))))^(color(blue)("the given density")) = color(green)(bar(ul(|color(white)(a/a)color(black)("3.6 mL")color(white)(a/a)|)))`

The answer is rounded to two sig figs.