Algebra & Trigonometry
posted by Ruth Joy .
A slice of thickness 1 cm is cut off from one side of a cube. If the volume of the remaining figure is 180 cubic centimeter, how ling is the edge of the original cube

If the original cube had side s, then the volume was s^3.
A 1inch slab has volume s^2.
So, we know that s^3  s^2 = 180
s^3  s^2  180 = 0
Inspection reveals that s=6 is one answer. So, now we have
(s6)(s^2 + 5s + 30)
The quadratic has no real roots, so s=6 is the only answer.