If cuboid dimensions are L by W by H then the total area is 2(LW+LH+WH)=132cm2.
Lateral area is 2(WH+LH)=2H(L+W)=112cm2. Therefore 132-112=20cm2=2LW, LW=10cm2.
LW+LH+WH=66cm2, LH+WH=56cm2=H(L+W).
However, lateral area can also be 2L(W+H)=2W(L+H), depending on orientation of the cuboid.
So 2LW+2LH=2LW+2WH, therefore L=W, and L=W=√10cm. 2LH=56, LH=28cm2 and H=28/√10cm.
So the dimensions could be H=8.85cm, L=W=3.16cm.