Question

The functions s(V)=3v describes the side lengths, in units, of a cube with the volume of V cubic units

Answer 1

`s(v) \ge 4`

Explanation:

Given

`s(v) = \sqrt[3]{v}`

`v = 64` ---- minimum

Required

The range of s

s represents the side length of the cube.

So, first we solve for s in
`s(v) = \sqrt[3]{v}`

Substitute
`v = 64`

`s = \sqrt[3]{64}`

`s = 4`

This means that
`s = 4` when
`v = 64`

In other words, the minimum value of s is 4

Hence, the range is:

`s(v) \ge 4`