What is the volume, in cubic inches, of a cube with an edge length of 12 inches?

The volume \( V \) of a cube is given by the formula:

\[
V = s^3
\]

where \( s \) is the length of an edge of the cube.

Given that the edge length is \( s = 12 \) inches, we can calculate the volume:

\[
V = 12^3 = 12 \times 12 \times 12 = 1,728 \, \text{cubic inches}
\]

So, the volume of the cube is **1,728 cubic inches**.

Would you like more details or have any further questions?

Here are 5 related questions to deepen your understanding:
1. What is the surface area of a cube with an edge length of 12 inches?
2. How does the volume of a cube change if the edge length is doubled?
3. If the volume of a cube is 8,000 cubic inches, what is the edge length of the cube?
4. What is the volume of a rectangular prism with dimensions 12 inches by 12 inches by 12 inches?
5. How would you calculate the diagonal of a cube with a given edge length?

**Tip:** When scaling the edge length of a cube, the volume changes by the cube of the scaling factor!

Learn how to calculate the volume of a cube with a 12-inch edge length. This problem uses the formula V = s^3 and demonstrates how to compute the volume as 1,728 cubic inches. Ideal for students in Grades 6-8 studying geometry and exponents.

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