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The problem asks to find the edge length of a cube-shaped jewelry box with a volume of 125 cubic inches.

### Part A:
To find the edge length of a cube, we need to recall the formula for the volume of a cube:
\[
V = e^3
\]
where \( V \) is the volume and \( e \) is the edge length. The problem states that the volume is 125 cubic inches, so we have:
\[
125 = e^3
\]
To solve for \( e \), we take the cube root of both sides:
\[
e = \sqrt[3]{125}
\]
Since \( 125 = 5^3 \), we have:
\[
e = 5
\]

Therefore, the correct expression to drag into the box in **Part A** is \( \sqrt[3]{125} \).

### Part B:
Now that we've calculated the edge length, the edge length of Stephanie’s jewelry box is **5 inches**.

Would you like more details or have any further questions?

Here are 5 related questions:
1. What happens to the edge length if the volume of a cube is doubled?
2. How would you calculate the surface area of Stephanie’s jewelry box given the edge length?
3. How does the formula for the volume of a cube change if it's not a perfect cube (i.e., different side lengths)?
4. How can you generalize the cube root formula for finding edge length in any cube?
5. How is the concept of cube roots used in real-world applications?

**Tip:** When dealing with cubes, always remember that the edge length is the cube root of the volume.

Stephanie has a jewelry box shaped like a cube with a volume of 125 cubic inches. Which expression shows the edge length, e, of Stephanie's jewelry box in inches?

Learn how to find the edge length of a cube-shaped jewelry box with a volume of 125 cubic inches. This solution explores the relationship between volume and edge length using cube roots, suitable for students in Grades 6-8.

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