Use the same procedure explained in previous problems of this type, and show your work.
You have two variables, box base length a and height h. I will assume cutout corner square pieces are not used; other wiseyou will need a lot of tape to make sides from cut corners.
(a + 2h)^2 = 6075
The box will be made by folding up the four protruding ends of a fat looking cross, made by cutting square corners off a square that has side length a + 2h.
Volume = a^2*h
Express volume V in terms of a or h only and set the derivative with respect to the remaining variable equal to zero.
Compute the two variables and the volume
If 6075 square centimeters of material is available to make a box with a square base and an open top, find the largest possible volume of the box.
Volume=??? cubic cm
2 answers
im stuck