To find the volume of a cube, we use the formula:

$V = s^3$

where $s$ is the length of each side of the cube. Here, each side is given as $3 \, \text{m}$.

Substitute $s = 3 \, \text{m}$ into the formula:

$V = 3^3 = 3 \times 3 \times 3 = 27 \, \text{m}^3$

Answer:

The volume of the cube is $27 \, \text{m}^3$.

Would you like more details or have any questions?

Here are some related questions to explore:

1. How would the volume change if the side length was doubled?
2. What is the surface area of this cube?
3. How would you find the volume if it was a rectangular prism instead of a cube?
4. What is the formula for the volume of a cylinder, and how does it differ from the cube?
5. If the side length was 4 m, what would the volume be?

Tip: Remember, for cubes, the volume grows significantly with increases in side length, as it’s a cubic function.