For inertial confinement, the amount of material being compressed is measured in milligrams at most. If you figure an energy density scale up of a factor of a million for fusion over chemical reactions, the amount of energy generated per shot is on the order of a few kilograms of gasoline. Like as much as is released in a typical Hollywood car-explodes-on-impact stunt.
In the NIF (National Ignition Facility) the target chamber is a sphere ten meters in diameter, made of four-inch-thick aluminum. It is evacuated to a high vacuum before each shot. Its total volume is about 15000 cubic feet. I'm guessing it can handle the power output of a shot.
In inertial-confinement fusion, the time involved is a few tenths of a billionth of a second and the density of the plasma has to reach 1031 nuclei per cubic meter—many times more dense than lead.
https://www.sciencedirect.com/topics/mathematics/inertial-confinement