Calculating the Length of One Side of a Cube Using its Volume: A Step-by-Step Guide for Math Enthusiasts

The volume of a cube is 512 cubic centimeters. What is the length, in centimeters, of one side of this cube?

To find the length of one side of the cube, we can use the formula for the volume of a cube, which is given by:

Volume = side^3

We are given that the volume is 512 cubic centimeters

To find the length of one side of the cube, we can use the formula for the volume of a cube, which is given by:

Volume = side^3

We are given that the volume is 512 cubic centimeters. Plugging this into the formula, we get:

512 = side^3

To solve for the side length, we need to find the cube root of 512. Taking the cube root of both sides of the equation, we have:

∛512 = ∛(side^3)

8 = side

Therefore, the length of one side of this cube is 8 centimeters.

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