@Chan, placing the stone in the beaker clearly displaced........7⋅mL of water. You notice the same thing when you have a bath. You lower yourself into a bath, and you notice that the water is displaced. If you have filled your bath too full, you get water on the bathroom floor you klutz.
If you have the mass of the stone (or whatever object), you can calculate the density of the stone, because density is given by the quotient:
Density, ρ=MassVolume..........
As regards the equivalence of millilitres and cubic centimetres...........it is a fact that 1⋅mL≡1⋅cm−3.
Now we know that 1⋅m3 (which is a HUGE volume) ≡1000⋅L
1⋅cm3=(1×10−2⋅m)3. Why? Because the prefix centi≡10−2. And thus............
1⋅cm3=(1×10−2⋅m)3=1×10−6⋅m3.
Sometimes I remember that 1⋅m3 (which is indeed a HUGE volume!), is 1000⋅L, and that there are 103⋅cm3 in a L. An equivalent term for the litre is cubic decimeter, dm3.
And thus 1000⋅L=103⋅L×10−6⋅m3=1×10−3⋅m3.
Equivalently 1⋅L=1⋅dm3=(1×10−1⋅m)3=10−3⋅m3, as required.
