Question

The volume of a cube with side length x inches is x^3 cubic inches. If a cube has volume 1000 cubic inches, what is its side length (in inches)?

Answer 1

10"

Explanation:

The volume for a cube is V = l × w × h

But since this is a cube, all the sides aree the same length, so we could rewrite this in terms of x as:

V =
`x^3`

If we know the volume to be 1000, we sub it in for V:

`1000=x^3`

We "undo" a cube by taking the cubed root of both sides. The cubd root of x cubed is just x, and the cubed root of 1000 is 10. Therefore, x = 10