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 triple integral is represented as \iiint f(x, y, z) \, dx \, dy \, dz , where the limits of integration define the region over which the function is evaluated. To compute a triple integral, one usually breaks the process into three steps, integrating one variable at a time. This method is useful in various fields, including physics, engineering, and probability theory, where it helps in finding quantities like mass, charge, or probability distributions in three-dimensional contexts.