Several Bahá'à houses of worship were built; so far, basically one for every continent (as of 2013, the one in South America isn't finished yet). You can find a summary in the Wikipedia article entitled "Bahá'à House of Worship".
A Bahai place of worship is called: 1) a Bahai house of worship, 2) a Bahai temple or 3) a Mashriqu'l-adhkar These are three different names for the same thing.
The Bahai community is very widely spread across the world, but in small numbers. Most local Bahai communities meet in private homes, or in a rented hall or a Bahai centre, and the same places are used for worship meetings and other meetings. However specially dedicated Houses of Worship / Temples / Mashriq'ul-Adhkars (3 names for the same thing) have been built in some places. There are continental Houses of Worship (for example, the North American one in Wilmette, Illinois) and two national ones are about to be built (Congo and Papua New Guinea). Local communities, especially in the third world, may have a small house of worship or Bahai centre built with local resources, and plans for a number of smaller Houses of Worship have recently been announced in Cambodia, India, Kenya, Colombia and Vanuatu. These will be built with help from the Bahais around the world, and will be in permanent materials.
Yes, there are homes that belong to Baha'is in Wilmette, IL, as well as a Baha'i Home for the Aged. The Baha'i House of Worship in Wilmette is located at Linden and Sheridan. See http://www.bahai.us/bahai-temple
the Khana Kaba
Pagodas were built as a place to worship in Japan. A pagoda is a place used to house religious artifacts in the Japanese culture.
There are Bahá'ís all over the world, in every country.
No. Lotus Temple at Delhi is a contemporary structure. It has been built by the followers of the Bahai Sect.
That depends on the House of Worship. The one being built in Santiago, Chile is being made of a new kind of earthquake proof glass that was created just for that building.
The Ka'bah is the House of God built by Abraham and his son, Ishmael, for the worship of the One God. It is "The Ancient House". It was built as part of God's promise to bring a Prophet from the descendants of Ishmael.
The purpose was that he built the temple in Jerusalem to house the Thorah and to serve as a place of worship.
The Kaaba was built by Prophet Ibrahim and his son Isma'il as a place of worship for monotheistic beliefs. Muslims believe it to be the first house of worship dedicated to Allah.
A Bahá'í believer can worship, or pray, anywhere - at home for example. However, there are usually designated places in each town or city, where Bahá'ís meet to pray, to consult, etc.