See main article: Kaiser Max-class ironclad.
Prinz Eugen was 75.87m (248.92feet) long overall and 73.23m (240.26feet) long at the waterline; she had a beam of 15.25m (50.03feet) and an average draft of 6.15m (20.18feet). She displaced 3548LT. As was common for ironclads of the period, she had a pronounced ram bow. She had a crew of 400 officers and men.
Her propulsion system consisted of one single-expansion marine steam engine that drove a single screw propeller. The number and type of her coal-fired boilers have not survived, but they were vented through a single funnel placed slightly forward of amidships. Her engine produced a top speed of 13.28kn from 2755ihp. The ship was fitted with a three-masted sailing rig to supplement the steam engines.
Prinz Eugen was a casemate ship, and she was armed with a main battery of eight 21cm (08inches) 20-caliber (cal.) guns manufactured by Krupp, mounted in a central casemate, four on each broadside. She also carried four 9cm (04inches) 24-cal. guns, two 7cm (03inches) 15-cal. landing guns, six 47mm 35-cal. quick-firing guns, three 47mm Hotchkiss revolver cannon, and two 25mm guns. Prinz Eugen also had four 35cm (14inches) torpedo tubes, one in the bow, one in the stern, and one on each broadside.
The ship's armor consisted of an armored belt that was 203mm thick and was capped with 115mm thick transverse bulkheads on either end of the citadel. The casemate battery was protected with 125mm thick plates.
Prinz Eugen was laid down at the Pola Naval Arsenal in October 1874. The ship was ostensibly the same vessel that had been laid down in 1861, as the Austro-Hungarian parliament had approved a so-called reconstruction program of that . The head of the Austro-Hungarian Navy, Vice Admiral Friedrich von Pöck, had resorted to subterfuge to circumvent parliamentary hostility to new ironclad construction; he requested funds to modernize the earlier vessel, but in fact, he had that vessel broken up, with only the machinery, parts of the armor plate, and other miscellaneous equipment being incorporated into the new ship. Her completed hull was launched on 7 September 1877 and fitting-out work was completed by November 1878, when she was commissioned into the fleet. Sea trials began on 9 November.
The government placed a low priority on naval activities, particularly in the 1870s; as a result, the shortage of funds precluded an active fleet policy. The ironclad fleet, including Prinz Eugen, was kept out of service in Pola, laid up in reserve; the only vessels to see significant service in the 1870s were several screw frigates sent abroad. In 1880, Prinz Eugen had her sailing rig reduced. That year, Prinz Eugen, the ironclad, and the unarmored frigate took part in an international naval demonstration against the Ottoman Empire to force the Ottomans to transfer the city of Ulcinj to Montenegro in accordance with the terms of the 1878 Congress of Berlin. From 6 June to 11 July 1887, Prinz Eugen served as the flagship of the summer training squadron. During this period, Prinz Eugen was present during a fleet review held for Kaiser Franz Josef I on 4 July.
In 1888, Prinz Eugen and an Austro-Hungarian squadron that included the ironclads Custoza,,, and and the torpedo cruisers and traveled to Barcelona, Spain, to take part in the opening ceremonies for the Barcelona Universal Exposition. This was the largest squadron of the Austro-Hungarian Navy that had operated outside the Adriatic. In June and July 1889, Prinz Eugen participated in fleet training exercises, which also included the ironclads Custoza,, Tegetthoff, Kaiser Max, and Don Juan d'Austria. She took part in the exercises held in May and June 1891. Prinz Eugen was mobilized during the 1893 fleet maneuvers to train alongside the ironclads,, Kaiser Max, and Don Juan d'Austria, among other vessels.
A new construction program in the late 1890s and early 1900s required the Austro-Hungarian Navy to discard old, obsolete vessels to reduce annual budgets. These ships were largely reused in secondary roles. On 30 December 1904, Prinz Eugen was stricken from the naval register and converted into a repair ship. Conversion work was begun in 1906, which included removing her armament and engines and the installation of a crane that had been removed from the pre-dreadnought battleship . She was re-commissioned on 31 July 1909 with the new name Vulkan, as her previous name was needed for, a new dreadnought battleship. On 16 June 1910, the protected cruiser towed Vulkan to Šibenik, where she was based for the rest of her career through World War I. After Austria-Hungary's defeat, the ship was seized by Italy in 1919 as a war prize. The postwar negotiations that followed the Treaty of Saint-Germain-en-Laye, which allocated the ships of the former Austro-Hungarian Navy to the Allies, awarded the ship to Yugoslavia, but Italy never transferred the ship. Her ultimate fate is unknown.