ASSUMING that the substance is a gas . . .
It all depends on HOW the pressure was increased.
-- IF the gas was left in the same container, and the pressure was increased by heating the container, then the volume hasn't changed. It's still the inside volume of the container.
-- IF the pressure was increased by stuffing all of the gas into a smaller container, then the new volume is the volume of the smaller container.
No matter what the mass or temperature of the gas is, it always expands to fill whatever container you're keeping it in.