Constructing a crate The frame for a shipping crate is to be constructed from 24 feet of 2...

Constructing a crate The frame for a shipping crate is to be constructed from 24 feet of 2 ×2 lumber (see the figure).

(a) If the crate is to have square ends of side x feet, express the outer volume V of the crate as a function of x (disregard the thickness of the lumber).

---

(b) Sketch the graph of V for x > 0.

EXERCISE