Are you surprised? Fruits like berries are not usually filled with fiber but raspberries are the exemption to that. A cup of this sweet fruit provides almost the same fiber content as three slices of whole wheat bread. How much fiber is that? One cup of sweet and red raspberries can provide up to 7 grams of dietary fiber. It is the perfect snack, you know, plus it can also load up on your Vitamin C need for the day.