Jamaica was still being hammered by strong winds and heavy rain early Thursday as Hurricane Beryl passed its southern coast, having claimed at least one life on the island. The powerful storm, which devastated communities in the eastern Caribbean earlier in the week, was headed next to the Cayman Islands.

Beryl, which was downgraded after midnight to a Category 3 storm, has killed at least eight people in total. Virtually every building on the islands of Carriacou and Petite Martinique in Grenada, where the storm made landfall on Monday as a Category 4 hurricane, lay in ruins, with marinas and a hospital destroyed, rooftops torn away and tree trunks snapped like matchsticks across the drenched earth.

“We have to rebuild from the ground up,” said Dickon Mitchell, the prime minister of Grenada.

Beryl was expected to remain a dangerous hurricane as it passed just south of the Caymans, where forecasters said the storm surge could raise water levels by up to four feet.

In Mexico, officials warned that the country could be hit twice in the coming days. Most of the eastern coast of the Yucatán Peninsula, from Puerto Costa Maya to Cancun, were under a hurricane warning as of early Thursday. By the weekend, Beryl is expected to emerge into the Gulf of Mexico, where it could restrengthen into a hurricane.

In Jamaica, hundreds of thousands of households lost power, and several communities were flooded. Officials warned that the full extent of the damage was not yet clear. Beryl was the strongest storm to approach the island in over a decade. The last time a major hurricane passed within 70 miles of Jamaica was in 2007, and it has been even longer since one made landfall.