- #1

Apost8

- 48

- 0

*really*appreciate it. Here's the question:

**If 1200cm^2 of material is available to make a box with a square base and an open top, what is the box's larget possible volume?**

So far, I'm guessing that since the base of the box is to be square and there's an open top, the area of the box =

**x^2 + 4xy = 1200**and the

**volume = (x^2)y**.

I know at some point I'll need to differentiate and find the maximum of the function, but, I'm sort of floundering at this point. Thanks in advance.