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With an estimated diameter in the 320 to 350 km range, (704) Interamnia isthe fifth largest main belt asteroid and one of the few bodies that fills thegap in size between the four largest bodies with $D$ > 400 km (Ceres, Vesta,Pallas and Hygiea) and the numerous smaller bodies with $D$ $\lesssim$ 200 km.However, despite its large size, little is known about the shape and spin stateof Interamnia and, therefore, about its bulk composition and past collisionalevolution. We aimed to test at what size and mass the shape of a small bodydeparts from a nearly ellipsoidal equilibrium shape (as observed in the case ofthe four largest asteroids) to an irregular shape as routinely observed in thecase of smaller ($D$ $\lesssim$ 200 km) bodies. We observed Interamnia as partof our ESO VLT/SPHERE large program (ID: 199.C-0074) at thirteen differentepochs. In addition, several new optical lightcurves were recorded. These data,along with stellar occultation data from the literature, were fed to theAll-Data Asteroid Modeling (ADAM) algorithm to reconstruct the 3D-shape modelof Interamnia and to determine its spin state. Interamnia's volume-equivalentdiameter of 332 $\pm$ 6 km implies a bulk density of $\rho$=1.98 $\pm$ 0.68gcm$^{-3}$ , which suggests that Interamnia - like Ceres and Hygiea - containsa high fraction of water ice, consistent with the paucity of apparent craters.Our observations reveal a shape that can be well approximated by an ellipsoid,and that is compatible with a fluid hydrostatic equilibrium at the 2 $\sigma$level. The rather regular shape of Interamnia implies that the size and masslimit, under which the shapes of minor bodies with a high amount of water icein the subsurface become irregular, has to be searched among smaller ($D$$\lesssim$ 300km) less massive ($m$ $\lesssim$ 3x10$^{19}$ kg) bodies.

(704) Interamnia: A transitional object between a dwarf planet and a typical irregular-shaped minor body