I've been making this cake for many years, albeit usually only once a year - it's rich. And great. "We" prefer no fruit or nuts in our version, but add what you will.
2 cups sugar
1 1/2 cups vegetable oil
4 large eggs
2 cups all purpose flour
2 teaspoons baking powder
2 teaspoons baking soda
1 teaspoon salt
1 teaspoon ground cinnamon
1/4 teaspoon ground nutmeg
3 cups finely grated peeled carrots (about 1 pound)
Cream Cheese Frosting
1 lb. confectioners sugar
1 8-ounce packages cream cheese, room temperature
1/2 cup (1 stick) unsalted butter, room temperature
1 teaspoons vanilla extract
Preheat oven to 325°F. Lightly grease three 9-inch-diameter cake pans with 1 1/2-inch-high sides. Line bottom of pans with waxed paper. Lightly grease waxed paper. Using electric mixer, beat sugar and vegetable oil in bowl until combined. Add eggs 1 at a time, beating well after each addition. Sift flour, baking powder, baking soda, salt, cinnamon and nutmeg into sugar and oil mixture. Stir in carrots.
Pour batter into prepared pans, dividing equally. Bake until toothpick inserted into center comes out clean and cakes begin to pull away from sides of pans, about 45 minutes. Cool in pans on racks 15 minutes. Turn out cakes onto racks and cool completely. (Can be made 1 day ahead. Wrap tightly in plastic and store at room temperature.)
Using electric mixer, beat all ingredients in medium bowl until smooth and creamy. Serve cake cold or at room temperature.