1. The problem is to understand the properties of a cube. 2. A cube is a three-dimensional solid object bounded by six square faces, with three meeting at each vertex. 3. Important formulas for a cube include: - Volume: $$V = s^3$$ where $s$ is the length of a side. - Surface Area: $$A = 6s^2$$ 4. For example, if the side length $s$ is known, you can calculate the volume and surface area using these formulas. 5. These formulas come from the fact that all edges of a cube are equal and all faces are squares. 6. Understanding these properties helps in solving geometry problems involving cubes.