Question

what is the edge length of the cube? v = 27 cm³

Explanation:

Step1: Recall volume formula

The volume formula for a cube is $V = s^{3}$, where $s$ is the edge - length and $V$ is the volume.

Step2: Solve for edge - length

Given $V = 27\ cm^{3}$, we have $s^{3}=27$. Taking the cube - root of both sides, $s=\sqrt[3]{27}$.
Since $3\times3\times3 = 27$, $\sqrt[3]{27}=3$.

Answer:

$3\ cm$