Question #0cffc

1 Answer
Stefan V.
Jan 19, 2016

#"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)#

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