cardboard box has a square base, with each edge of the base having length x inches, as shown in the figure. The total length of all 12 edges of the box is 144 in.

Question

What is the domain of V? (Use the fact that length and volume must be positive. Enter your answer using interval notation.)

the equation is: 2x²(18-x)

maximum is 1728

Just need help with domain

Thank you!!!

Answer 1

Well, as you are told in the problem, length and volume must be positive. So figure out what values of x make the length positive, and what values of x make the volume positive, and then find the intersection of these two sets.