Figure 1		Figure 2

A(n) $5 \mbox{ in} \times 8 \mbox{ in}$ piece of cardboard has squares cut out of each corner in order to make a box (see Figure 1). Let $x$ represent the length of a cut-out square (the height of the box).

(a) Find a function $V(x)$ for the volume of the box in terms of $x$.

     $V(x) =$

(b) Find the domain of the function. Write your answer as a compound inequality involving $x$.

      Domain of $V(x)$:

(c) Using the graph of $V(x)$ shown in Figure 2, determine the dimensions that yield the maximum volume. Round your answers to the nearest tenth.

      Height: in

      Width: in

      Length: in

Help: Click here for help entering formulas or click here for help entering inequalities. It does not matter which side you choose to be the width or length of the box.