Question

the volume of a cube - shaped crate is 27 cubic feet. what is the length of one edge of the crate? each edge of the crate is (square) feet. (type an integer or a decimal.)

Explanation:

Step1: Recall volume formula for cube

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

Step2: Solve for the edge - length

Given $V = 27$ cubic feet, we set up the equation $s^3=27$. Taking the cube - root of both sides, $\sqrt[3]{s^3}=\sqrt[3]{27}$. Since $\sqrt[3]{s^3}=s$ and $\sqrt[3]{27}=3$, we find that $s = 3$.

Answer:

3