Asked by Terry
A manufacturer uses a 28 x 41 metal sheet to construct an open box by cutting out squares from each corner. What length square should be cut to maximize volume?
Answers
Answered by
Reiny
let each side of the squares cut out be x units
length of box = 41-2x
width of box = 28-2x
height of box = x
volume = x(41-2x)(28-2x)
expand and simplify, you will have a cubic
find the derivative, that will be a quadratic
set it equal to zero, and solve using the quadratic formula
length of box = 41-2x
width of box = 28-2x
height of box = x
volume = x(41-2x)(28-2x)
expand and simplify, you will have a cubic
find the derivative, that will be a quadratic
set it equal to zero, and solve using the quadratic formula
Answered by
Anonymous
H035
Answered by
Anonymous
17.55
Answered by
Anonymous
5.45
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.