The side length,s, of a cube is related to its volume, v, by the formula s=v^1/3. A cube box when filled with materials has a volume of 729 cm2. What is the side lenth of the cube box used?

Question

The side length,s, of a cube is related to its volume, v, by the formula s=v^1/3.  A cube box when filled with materials has a volume of 729 cm2.  What is the side lenth of the cube box used?

Please help me step by step with this.  I don't know where to start :(

Melanie · Answer

You would start by substituting 729 for V in the equation of s=v^1/3, making it 729^1/3.

729^1/3 can be seen as the 3rd root of 729.

Simply type that into your calculator.

The answer once entering the equation in a calculator is S=9.

So, the side length is 9 ~ ^^