How to calculate the side of cube when you're given the volume?

Mathematics

ScanSolve AI Answer

Step-by-step solution

3 steps

To calculate the side of a cube when given its volume, you need to find the cube root of the volume.

  1. Recall the formula for the volume of a cube.

    The volume (VV) of a cube with side length (ss) is given by:

    V=s3V = s^3
  2. Rearrange the formula to solve for the side length (ss).

    To find ss, take the cube root of the volume:

    s=V3s = \sqrt[3]{V}
  3. Apply the formula with an example.

    For instance, if the volume of a cube is 27 cm327\text{ cm}^3:

    s=27 cm33s = \sqrt[3]{27\text{ cm}^3} s=3 cms = 3\text{ cm}

    The side length of the cube is the cube root of its volume\boxed{\text{the cube root of its volume}}.

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