The state of matter that has a definite volume but no shape is liquid.

Here's why:

* Definite Volume: Liquids have a fixed volume. A cup of water will always be a cup of water, no matter what container it's in.

* No Definite Shape: Liquids take on the shape of their container. Water in a glass will be shaped like a glass, water in a bottle will be shaped like a bottle.

Let me know if you have any other questions!