suppose the mass of a metal object be m and its specific heat capacity be s, and, H joules of heat is required to raise its temperature by t degrees Celsius
Than H is given by relation, [tex]H = mst[/tex]
Now if this object is cut in two half's, than mass of half part will also be half i.e. M/2
So heat required to heat the half part will be [tex]= (\frac{m}{2}) st =\frac{mst}{2} = H/2[/tex]
Hence, the heat required to raise the half object to a specific temperature will also become half.