**Question: **An open-top box is to be constructed from a 6 by 8 foot rectangular cardboard by cutting out equal squares at each corner and the folding up the flaps. Let *x* denote the length of each side of the square to be cut out.

(a) Find the function *V* that represents the volume of the box in terms of *x*.

(b) Graph this function and show the graph over the valid range of the variable x..

(c) Using the graph, what is the value of* x* that will produce the maximum volume?

**Solution:**The solution consists of 147 words (2 pages)

**Deliverables:**Word Document