Finding Cube Edge Length: Converting 343 cm³ Volume to Side Length

To solve this problem, we'll use the relationship between the volume of a cube and its edge length, given by the formula:

$V = s^3$

where $V$ is the volume and $s$ is the edge length.

We are given that the volume of the cube is 343 cm³. We need to solve for the edge length $s$:

$s^3 = 343$

To find $s$, we take the cube root of both sides of the equation:

$s = \sqrt[3]{343}$

We need to determine the cube root of 343. Knowing that $7 \times 7 \times 7 = 343$, we find:

$s = 7$ cm

Therefore, the length of each edge of the cube is $7$ cm.