A cube has volume . 1,331 cm3
. Find the
length of the cube.

To find the length of a cube given its volume, we use the formula for the volume of a cube:

\[
V = s^3
\]

where:
- \( V \) is the volume of the cube,
- \( s \) is the side length of the cube.

Given that the volume is 1,331 cm³, we can set up the equation:

\[
1,331 = s^3
\]

Now, solve for \( s \) by taking the cube root of both sides:

\[
s = \sqrt[3]{1,331}
\]

Calculating the cube root:

\[
s = 11 \, \text{cm}
\]

Thus, the length of the cube is 11 cm.

Would you like a detailed explanation of the cube root calculation or have any other questions?

### Related Questions:
1. If the side length of a cube is doubled, how does its volume change?
2. What is the surface area of a cube with a side length of 11 cm?
3. How do you find the diagonal of a cube given its side length?
4. If a cube’s side length is increased by 2 cm, what is the new volume?
5. What is the total edge length of a cube with a side length of 11 cm?

### Tip:
For a cube, doubling the side length increases the volume by a factor of 8, because volume depends on the cube of the side length.

A cube has volume 1,331 cm³. Find the length of the cube.

Learn how to calculate the length of a cube with a volume of 1,331 cm³. This problem involves using the cube volume formula and finding the cube root of 1,331. Perfect for students in Grades 6-8, covering essential geometry and cube root concepts.

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