Mathematical volume refers to the amount of three-dimensional space occupied by an object. It is measured in cubic units, such as cubic meters or cubic centimeters. Different shapes have specific formulas to calculate their volume, such as the formula for a cube, which is V = s^3 , where s is the length of a side. Understanding volume is essential in various fields, including architecture, engineering, and science. It helps in determining how much material is needed for construction or how much liquid a container can hold. Accurate volume calculations are crucial for practical applications in everyday life.