The volume of a cube is given by V(s)=s3 s
3
where s is the cube's side-length.

a) What's the domain of V? Explain

b) If a cube has a side-length of 3 ft, what's its volume?

c) If a cube has a volume of 512 ft3
3
, what is its side-length?

108 cm ³

Explanation:

We are given the volume function:

V = s3

The rate of change is found using the first derivative of this function. This is often called the gradient function, because it gives the gradient of a tangent line drawn at the specified point.

( s3) = 3²

We now plug in s = 6

3s2 = 3 (6) ² = 108 ²

hope it

step-by-step explanation:

x^(1/6) · x^(1/6) · x^(1/6)   ·x^(1/6) = x^(4/6)   since we add the exponents

4/6 can be simplified to 2/3

the simplified form is x^(2/3)