A triple integral is a mathematical tool used to calculate the volume under a surface in three-dimensional space. It extends the concept of single and double integrals, allowing us to integrate functions of three variables, typically denoted as f(x, y, z) . The result of a triple integral gives the total accumulation of a quantity, such as mass or charge, over a three-dimensional region. To evaluate a triple integral, one typically integrates iteratively, first with respect to one variable, then the next, and finally the last. The limits of integration define the specific region in space over which the integration occurs. Triple integrals are commonly used in fields like physics and engineering to solve problems involving volumes, densities, and other three-dimensional quantities.