Final answer:
The Intrauterine Device (IUD) can cause bladder pain, cramps, and rectal pain.
Step-by-step explanation:
The contraceptive method that can cause bladder pain, cramps, and rectal pain is the Intrauterine Device (IUD). While the IUD is highly effective in preventing pregnancy, it can have some side effects. One possible side effect is the increased risk of developing bladder infections, which can lead to symptoms such as bladder pain, cramps, and rectal pain.