## amc-2014-im-18

Two rectangular prisms are constructed.

One measures 4cm $$\times %speech% ,by,$$ 6cm $$\times %speech% ,by,$$ $$x\,$$cm and the other measures 3cm $$\times %speech% ,by,$$ 8cm $$\times %speech% ,by,$$ $$y\,$$cm, where both $$x$$ and $$y$$ are integers.

If they have equal surface area, what is the smallest possible value of $$x+y %speech% ,x+y,$$?