As you have mentioned about using the audit data for building cube, I would recommend to create a dedicated table to keep all audit history of Product changes.

Then you can create an audit trigger (for Update, Insert and Delete), which will copy all Product data from Product table together with some required audit details (eg. date change, user info etc.) into "Product_Audit" table whenever any data modification is performed in Product.

There is another way to track changes in SQL Server you ight consider. It's called CDC (Change data Capture). Have a look it too. However I think audit triggers are more convinient for futher use in building cubes.