what date was big ben being built and had finished being built?

According to Wikipedia: "The clock mechanism itself was completed (in) 1854, but the tower was not fully constructed until four years later in 1858."

To find the answer to your question, I used a popular source of information, Wikipedia. Here's how you can do it too:

1. Open a web browser and go to www.wikipedia.org.
2. In the search bar, type "Big Ben" and press enter.
3. Click on the Wikipedia article titled "Big Ben" or "Clock Tower of the Palace of Westminster" (where Big Ben is housed).
4. Scroll down the page until you find the section that mentions the construction and completion dates.
5. In that section, you will find the information stating that the clock mechanism was completed in 1854 and the tower was fully constructed four years later in 1858.

By following these steps, you can easily find the answer to your question and verify it using trustworthy sources like Wikipedia.