Question

The volume of a packing box is 5 – x cubic feet. The width of the box is x feet and the length is x – 2 feet. The height is given by the expression Which of these values of x make the expression undefined?

Answer 1

By definition we have that the volume is given by
 V = h * w * l
 where
 V: Volume
 h: height
 w: width
 l: length
 Clearing the height we have:
 h = V / (w * l)
 h = (5 - x) / ((x) * (x - 2))
 The expression is not defined for the values of x that make the denominator zero:
 ((x) * (x - 2)) = 0
 x = 0
 x = 2
 Answer
 h = (5 - x) / ((x) * (x - 2))
 x = 0
 x = 2