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The state of matter that has no definite shape but a definite volume is a liquid.
Liquid has definite volume but no shape. It assumes the shape of the vessel in which it is kept.
All liquids have a definite volume given a particular fixed temperature.

for example, water. it has no definite shape but a definite volume under a given temperature.

no matter that has no shape and a definite volume exists.

as the temperature is decreased, the molecules in a substance lose energy and they come closer and thus the volume decreases. but when it is heated, the molecules gain energy and move around hitting each other and moving farther and farther still. thus the volume increases on heating.

Added:

Liquid has NO definite shape but certaily (YES) a definite volume.

This volume is not depending on temperature in the sense of not being 'defined' (as erroneously stated above).

Its (defined) volume is determined by the amount and kind of matter and depending on (not defined by) temperature.

(This means that it has not a constant value for a certain amount of liquid, but it is still a definite volume, meaning that, at each temperature a certain volume is 'defined' for a certain amount of liquid (defined is a derived word from 'definite').

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