Step 1 :Given that each Dentalia shell is about 1.5 inches long.
Step 2 :Calculate the length of a necklace made with 18 shells: \(18 \times 1.5 = 27\) inches.
Step 3 :Calculate the length of a necklace made with 24 shells: \(24 \times 1.5 = 36\) inches.
Step 4 :Find the difference in length between the two necklaces: \(36 - 27 = 9\) inches.
Step 5 :Final Answer: The necklace made with 24 shells would be \(\boxed{9}\) inches longer than the necklace made with 18 shells.