The state of matter that has a shape and volume that change is a liquid.

Here's why:

* Liquids take the shape of their container. Pour water into a glass, and it takes the shape of the glass. Pour it into a bowl, and it takes the shape of the bowl.

* Liquids have a fixed volume. While the shape changes, the amount of liquid (its volume) remains the same.

Let me know if you have any other questions!