Suppose you are designing an open-top box with a square base. You have 12m2 of material to work with. What should the dimensions of the box be, in order to maximize the volume?

2m x 2m x 1m

Step-by-step explanation:

Let 'L' be the length of each side of the base, and 'H' be the height of the box.

The area and volume of the box are given by:

Rewriting 'V' as a function of 'L':

The value of 'L' for which the derivate of the volume function is zero is the length that yields the maximum volume:

For L= 2m, the height 'H' is:

Therefore, the dimensions of the box should be 2m x 2m x 1m.

answer: it would most likely be y=6 and 5/7.

step-by-step explanation: