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The problem asks for the volume of a cube with sides of 3 cm each.

To find the volume \( V \) of a cube, the formula is:

\[
V = s^3
\]

Where \( s \) is the length of one side of the cube. In this case, \( s = 3 \) cm:

\[
V = 3^3 = 3 \times 3 \times 3 = 27 \, \text{cm}^3
\]

Thus, the correct answer is:

\[
\boxed{27 \, \text{cm}^3}
\]

Would you like a more detailed explanation or any further clarifications?

Here are 5 additional questions related to this concept:

1. What is the surface area of a cube with sides of 3 cm?
2. If the side of the cube is doubled, how does the volume change?
3. What would be the volume of a cube with sides of 4 cm?
4. How does the formula for the volume of a cube compare to the formula for the volume of a rectangular prism?
5. How is the unit for volume (cubic centimeters) different from the unit for area (square centimeters)?

**Tip**: When working with cubes, remember that the volume scales with the cube of the side length, meaning small changes in side length result in large changes in volume.

What is the volume of a cube with sides 3 cm each?

Learn how to calculate the volume of a cube with 3 cm sides using the formula V = s^3. This basic geometry problem helps students in Grades 6-8 understand how to find cubic measurements.

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