This question was given to Mrs. RickJay’s math course; these students were just taught the concept of derivatives four weeks ago.

“A square of side X is cut from each corner of a square sheet of metal 16 cm on a side, and the edges are turned up to form a tray. Write an equation for the volume of the tray and determine the value of X which will yield the maximum volume.”

Man, this is INTRODUCTORY math?

Anyway, I am pretty sure the equation for volume is V=(16-x)(16-x)(x), right? In that case, how would I find the max value?