You construct an open box with locking tabs from a square piece of material, 24inches on a side, by cutting equal sections from the corners and folding along the dashed lines (see figure).

(a) Write a function V that represents the volume of thebox.
(b) Determine the domain of the function V.
(c) Sketch a graph of the function and estimate the value of x for which V(x) is a maximum.

Transcribed Image Text:

24 in. 24 in.