Cube Volume Formula: Verifying V = edge³ in Three-Dimensional Geometry

To determine whether the volume of a cube is equal to the length of the edges cubed, we follow these steps:

• Step 1: Recognize that a cube is a three-dimensional shape with six equal square faces. All edges of a cube are of equal length.
• Step 2: Recall the formula for the volume of a cube, given by $V = s^3$, where $s$ is the length of one of the cube's edges.
• Step 3: The question asks if the volume is equal to the edge length cubed. We note that the formula $V = s^3$ clearly indicates that the volume of a cube is indeed calculated by cubing the length of its edges.

Thus, the volume of a cube is $\mathbf{equal}$ to the length of the edges cubed.

Therefore, the correct answer to this problem is:

Yes