There is need for you to specify the type of cake you are actually talking about. The shelf life of any type of cake is subject to the following factors: -
Madeira cakes can be kept in an airtight container for 2 weeks maximum in the fridge of frozen for 2 months.
Chocolate cakes, carrot cakes will keep for a week in an airtight container in the fridge or frozen for 2mths.
Rich fruit cakes will keep in the fridge for 6mths or freezer for more than a year.
I encourage you to do a little experiment, bake a sample of your cake and deliberately store it out of a fridge/freezer and see how long it will remain fresh. That will give you an idea of how long/how short your cake can store. For me its a maximum of 5days for madeira cakes but what applies to me can’t apply to you cos the conditions are not the same. Hope this helps.
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