Find the length of the edge of the cube below, knowing that its volume is 1000 cm3.

1. ### Break Down the Problem

To find the length of the edge of a cube given its volume, we can use the formula for the volume of a cube: $V = a^3$ where $V$ is the volume of the cube and $a$ is the length of one edge.

2. ### Relevant Concepts

Given the volume $V = 1000 \, \text{cm}^3$, we will rearrange the formula to solve for $a$: $a = \sqrt[3]{V}$

3. ### Analysis and Detail

Substituting the volume into the equation: $a = \sqrt[3]{1000}$ To calculate the cube root of 1000, we know that: $1000 = 10^3$ Thus, $a = \sqrt[3]{10^3} = 10 \, \text{cm}$

4. ### Verify and Summarize

We can verify our result by calculating the volume with $a = 10 \, \text{cm}$: $V = a^3 = 10^3 = 1000 \, \text{cm}^3$ As the calculated volume matches the given volume, our result is verified.

Final Answer

The length of the edge of the cube is $10 \, \text{cm}$.