To round 11.775 to the nearest hundredth, you look at the third decimal place (the thousandths place) to determine if you should round up or keep the hundredths place the same.
In 11.775, the hundredths place is 7, and the thousandths place is 5. Since the thousandths place is 5 or greater, you round up.
So, 11.775 rounded to the nearest hundredth is 11.78.