The volume $V$ of a cube is given by the formula:

$V = s^3$

where $s$ is the length of one side of the cube. The expression that represents the volume of the cube is:

$\mathbf{s^3}$

The other expressions don't match the formula for the volume:

• $s^2$ represents the area of one face of the cube.
• $3 \cdot s^2$ could represent the total area of three faces of the cube.
• $6 \cdot s^3$ does not correspond to any standard geometrical property of the cube.

Would you like more details on cube-related formulas?

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Here are 5 related questions for further exploration:

1. What is the surface area formula of a cube?
2. How do you find the diagonal length of a cube?
3. How does the volume formula change for a rectangular prism?
4. What is the relationship between side length and volume for similar cubes?
5. How would you calculate the side length of a cube if its volume is known?

Tip: Remember, the units of volume are always cubic, like $\text{cm}^3$ or $\text{m}^3$, since volume is a three-dimensional measurement.