i suggest building the tank out of either all glass or all acrylic. there is not a good adhesive that will bind the two properly for use in a tank. i wish there was though, then all of my tanks would have been acrylic tanks with glass fronts.
with the tank only being 13" high i believe 1/4" glass or acrylic is fine. though 1/4" acrylic my bow more than you like, you can always go thicker. both are fairly easy to make, if you get the correct adhesive. any 100% silicone will work for the glass. while Weld-On 4 or Weld-On 16 for the acrylic.
mechanical binding is needed for attaching acrylic or glass to a wood tank. the size you are talking, the prices of either the glass or acrylic is not outrageous. that is when you start looking at glass/acrylic over 1/2" think.
www.glasscages.com will build you any size tank you want. they are also very reasonably prices.
G~