A rectangular piece of metal with dimensions 14 CMA 24 CM is used to make an open box equal squares of side length X centimeters are cut from the corners and sides are folded up a polynomial function that represents the volume, V,of the box is: V(X)=x(14-2x)(24-2x). Determine the maximum volume of the box.

Question

A rectangular piece of metal with dimensions 14 CMA 24 CM is used to make an open box equal squares of side length X centimeters are cut from the corners and sides are folded up a polynomial function that represents the volume, V,of the box is: V(X)=x(14-2x)(24-2x).  Determine the maximum volume of the box.

Is there an algebraic way to do this? I tried using my graphing calculator but I'm not sure how to use it. It's the ti-84 plus.

bobpursley · Answer

dimensions of the box
x high
14-2x width
24-2x height

Lord your teacher gave you this.
See the volume function. This is an easy problem in calculus. On the graphing calculator, type in the volume function give, and then plot it vs x. Look for the max volume.

Beth · Answer

What's the volume function?