Question

Question #0cffc

Answer 1

`"76 cm"^3`

Explanation:

The density of a substance tells you the mass of that substance per unit of volume.

`color(blue)("density" = "mass"/"unit of volume")`

Simply put, you can look at a substance's density and tell what mass is associated with one unit of volume of that substance.

In your case, the block of wood is said to have a density of `"0.60 g/cm"^3`. This means that the unit of volume here will be `"1 cm"^3`.

So, a density of `"0.60 g/cm"^3` means that every `"cm"^3` of wood will have a mass of `"0.60 g"`. You are told that a particular block of wood has a mass of `"126 g"`.

Well, if you get `"0.60 g"` for every `"1 cm"^3` of wood, you can say that `"126 g"` will correspond to a volume of

`126 color(red)(cancel(color(black)("g"))) * ("1 cm"^3)/(0.60 color(red)(cancel(color(black)("g")))) = "75.6 cm"^3`

Rounded to two sig figs, the number of sig figs you have for the density of the wood, the answer will be

`V = color(green)("76 cm"^3)`