section_path: Science and technology/Mathematics
section_name: Mathematics
paragraph_text: Mathematics
  
  Mesopotamian mathematics and science was based on a sexagesimal (base 60) numeral system. This is the source of the 60-minute hour, the 24-hour day, and the 360- degree circle. The Sumerian calendar was lunisolar, with three seven-day weeks of a lunar month. This form of mathematics was instrumental in early map-making. The Babylonians also had theorems on how to measure the area of several shapes and solids. They measured the circumference of a circle as three times the diameter and the area as one-twelfth the square of the circumference, which would be correct if π were fixed at 3.
  
  The volume of a cylinder was taken as the product of the area of the base and the height; however, the volume of the frustum of a cone or a square pyramid was incorrectly taken as the product of the height and half the sum of the bases. Also, there was a recent discovery in which a tablet used π as 25/8 (3.125 instead of 3.14159~). The Babylonians are also known for the Babylonian mile, which was a measure of distance equal to about seven modern miles (11 km). This measurement for distances eventually was converted to a time-mile used for measuring the travel of the Sun, therefore, representing time.