If we take two objects of same mass and of the same material, can we say that their volumes are equal?

Surely...
Density (Mass/volume) is a material property(a constant for a material).
So objects with same mass and same density will have same volume.
If one is a solid, and other is a hollow body, volume of air is not counted as it is not included as mass of the body...
The volume of the material only is counted and that will be same.

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