Question

Aluminum has a density of `2.70` `g``/``cm^3`. What would be the mass of a sample whose volume is `10.0` `cm^3`?

Answer 1

`"27.0 g"`

Explanation:

The density of a substance tells you the mass of exactly one unit of volume of said substance.

In your case, aluminium is said to have a density of

`"density Al" = color(blue)("2.70 g") color(white)(.)color(darkorange)("cm"^(-3))`

This tells you that every `color(darkorange)("1 mL")` of aluminium has a mass of `color(blue)("2.70 g")`.

All you have to do now is use the density of aluminium as a conversion factor to go from cubic centimenters of aluminium to grams

`10.0 color(red)(cancel(color(black)("cm"^3))) * color(blue)("2.70 g")/(color(darkorange)(1)color(red)(cancel(color(darkorange)("cm"^3)))) = color(darkgreen)(ul(color(black)("27.0 g")))`

The answer is rounded to three sig figs.