Posted by Delilah on Monday, July 8, 2013 at 9:23pm.
A box with an open top is to be made by cutting 5inch squares from the corners of a rectangular piece of cardboard whose length is twice its width and then folding up the remaining flaps. Let x represent the width of the original piece of cardboard; express the volume (V) of the box as a function of x, and simplify the function.

Math  MathMate, Monday, July 8, 2013 at 9:55pm
Width = x inches (given)
Length = 2x inches(given)
Height = 5 inches (given)
Volume = 5*x*2x = 10x² in.^{3}