The question says 1cm3 of ice is heated.
Using the formula density = mass/volume you should be able to determine the mass of ice heated.
Next, you must realise that ice is basically water... Can you calculate the no. of moles of water in 1 gram of ice ? Should be easy.
Now, use the formula PV=nRT.
Rearrange for Volume. Remember the volume you calculate will be in m3 NOT dm3.