Eich is a municipality in the district of Sursee in the canton of Lucerne in Switzerland. Eich is first mentioned in 1045 as Heiche. In 1173 it wa…Eich is a municipality in the district of Sursee in the canton of Lucerne in Switzerland. Eich is first mentioned in 1045 as Heiche. In 1173 it was mentioned as Eiche. Eich has an area of 5.9 km². Of this area, 67.9% is used for agricultural purposes, 12.6% is settled, and in the 1997 land survey, 19.52% of the area was forested. Of the agricultural land, 59.76% is used for farming or pastures, while 8.15% is used for orchards or vine crops. Of the settled areas, 5.26% is covered with buildings, 0.34% is classed as special developments, 0.68% is parks or greenbelts and 6.28% is transportation infrastructure. The municipality is located on the shores of the Sempach Laken. It consists of the village of Eich and the hamlet of östl.