Question

the volume of a cube is 343 in.³. how long is each side? each side of the cube is in. long.

Explanation:

Step1: Recall volume formula for cube

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

Step2: Solve for side - length

Given $V = 343$ in³, we need to find $s$ from the equation $343=s^{3}$. Taking the cube - root of both sides, we have $s=\sqrt[3]{343}$. Since $7\times7\times7 = 343$, $\sqrt[3]{343}=7$.

Answer:

7 in