Question

find the side length of a cube with a volume of 314 cm³. if necessary, round your answer to the nearest tenth.

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 $V = 314\ cm^{3}$, we can solve for $s$ by taking the cube - root of both sides of the equation $s^{3}=314$. So, $s=\sqrt[3]{314}$.

Step3: Calculate the value

Using a calculator, $\sqrt[3]{314}\approx6.8$ (rounded to the nearest tenth).

Answer:

$6.8$