Prepare 3 9-inch cake pans. Butter sides and bottom of each pan. Line bottom of each pan with parchment paper. Set aside.
Preheat oven to 350 degrees F.
Mix together flour, baking soda, spices, and salt in a medium bowl.
Use a mixer to blend the oil and sugar, beating the mixture for about 2 minutes. Beat in eggs one at a time. Beat 2 minutes. Add vanilla and blend in.
Dividing flour mixture into thirds, add to wet ingredients, blending well after each addition.
Add grated carrots and beat 2 minutes.
Divide batter evenly among prepared cake pans.
Bake for 25-30 minutes, until toothpick inserted into center comes out clean.
Allow baked cakes to cool in pans on racks for 10 minutes.
Run a knife around the edge of each cake, transfer to cooling rack and allow to cool completely.