A perfect cube is a number that can be expressed as the cube of an integer. This means that when an integer is multiplied by itself three times, the result is a perfect cube. For example, 2 cubed (2 × 2 × 2) equals 8, making 8 a perfect cube. Other examples include 1 (1³), 27 (3³), and 64 (4³). Perfect cubes can be identified in both positive and negative integers. For instance, (-3) cubed equals -27, which is also a perfect cube. Perfect cubes are important in various fields of mathematics, including algebra and geometry, where they help in understanding volume and spatial relationships.