In a large bowl, combine flour, baking powder and salt. Add in vegetable oil and warm water. Mix until a dough forms. Knead for minute until a smooth ball.
Cover and let rest for 15-20 minutes. Heat oil in either a large deep saucepan over medium heat or in a fryer to 375 F.
Divide sopapilla dough in half and roll out each onto a lightly floured surface into a long rectangle. Cut into triangles or squares. Fry sopapillas in batches in the oil, flipping once until lightly browned. Drain on a wire rack over paper towels.