A closed box with a square base is to have a volume of

$3000$

cm cubed.

The material for the top and bottom of the box costs

$$$$4\mathrm{.}50$

per square$$ centimeter, while the material for the sides costs

$$$$1\mathrm{.}50$

per square centimeter. Find the dimensions of the box that will lead to the minimum total cost. What is the minimum total$$ cost$?$

Question content area bottom

Part $1$

Write an equation for$$ C$($x$),$ the cost of the box as a function of$$ x$,$ the length of a side of the base.

$$C$($x$)$equalsenter your response here