A cake displayed in a cake stand can last for about 2 to 4 days at room temperature. This duration largely depends on the type of cake and the conditions under which it is stored. For instance, a cake with cream or custard fillings may not last as long as a plain sponge cake due to the perishable nature of these fillings. It's important to note that the cake should be covered to prevent exposure to air, which can cause it to dry out and lose its freshness. If the cake stand has a cover, it's advisable to use it. However, if you want to extend the cake's lifespan, consider refrigerating it. In the fridge, a cake can last up to a week. Always ensure to check for signs of spoilage like mold or off smells before consuming.