A good thing about a piano hinge is lots of screws. The holding power of individual screws into MDF is not as great as solid wood or plywood but it is not trivial either. With enough screws, it would hold significant weight. And as been noted, you could band that edge and screw into the edging. If it will need to bear a significant amount of weight (or be strong enough to withstand what kids have been known to do), you should probably screw into solid wood banding and reinforce the glue joint. Brads are the simplest reinforcement. Screws would be a little stronger. Biscuits or a spline is another way to reinforce the edging to MDF joint.
You can get 1/8 and 1/4 inch thick MDF but it is sometimes called tempered hardboard at that thickness. There may be some difference in the way it is made but at least one surface is smooth. My son's quickie college desk used 1/8 tempered hardboard for the surface over 5/8 particle board (I don't love particle board but we were making a large work surface on the cheap). It had 3/4 softwood edging. It survived several years in college and he was using it after finishing until he lost his job and moved back in with me.
Jim
You can get 1/8 and 1/4 inch thick MDF but it is sometimes called tempered hardboard at that thickness. There may be some difference in the way it is made but at least one surface is smooth. My son's quickie college desk used 1/8 tempered hardboard for the surface over 5/8 particle board (I don't love particle board but we were making a large work surface on the cheap). It had 3/4 softwood edging. It survived several years in college and he was using it after finishing until he lost his job and moved back in with me.
Jim



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