A state of matter that has no definite shape but has a definite volume.

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

Here's the step by step explanation:

1. There are four fundamental states of matter: solid, liquid, gas, and plasma.

2. A solid has a definite shape and volume. This means that it does not change its shape or volume under normal conditions.

3. A gas has no definite shape or volume. This means it will spread out and fill any container it is in.

4. A plasma is an ionized gas, and like a gas, it does not have a definite shape or volume.

5. A liquid, however, has a definite volume but no definite shape. It takes the shape of whatever container it is in, but it does not expand to fill the container as a gas would. Therefore, the answer to your question is liquid.