What is the side length of a cube that has a volume of 343 cubic centimeters? Recall the formula Cube: \( v=s^{3} \)

To find the side length of a cube with a volume of 343 cubic centimeters, we can use the formula for the volume of a cube, which is given by \( v = s^3 \), where \( v \) is the volume and \( s \) is the side length. Given that the volume of the cube is 343 cubic centimeters, we can substitute this value into the formula and solve for the side length \( s \). \[ 343 = s^3 \] Now, we can solve for \( s \) by taking the cube root of both sides of the equation. Calculate the value by following steps: - step0: Calculate: \(\sqrt[3]{343}\) - step1: Write in exponential form: \(\sqrt[3]{7^{3}}\) - step2: Simplify the root: \(7\) The side length of the cube is 7 centimeters.