What should be the size of the squares cut so that the volume of the open box is maximum? if we take a square sheet of 10cm and cut 4 small squares from the corners and then the paper is folded at...
What should be the size of the squares cut so that the volume of the open box is maximum?
if we take a square sheet of 10cm and cut 4 small squares from the corners and then the paper is folded at the cuts to form an open box
Please explain the whole process of trial and error method with different numbers to find the maximum volume of the open box.....
- print Print
- list Cite
Expert Answers
calendarEducator since 2012
write251 answers
starTop subjects are Math and Literature
Let's call the length of the squares x.
We need to figure out the length, width, and heigth of the resulting box, and use that to get the volume.
You start with a length of 10, but then you fold up a length of x on each side.
So the length of the resulting box is 10-2x
I can't draw this in this answer box, but here is a picture I found:
http://chestofbooks.com/home-improvement/woodworking/Sloyd-Paper-Cardboard-Iron/Model-No-7-Square-Box.html
scroll down to the grid, and ignore the "No 7"
If the larger square has length 10, and the small corner squares have length x, then the inner box must have length 10-2x.
The same argument goes for the width: the original square has width 10; the resulting box has...
(The entire section contains 387 words.)
Unlock This Answer Now
Start your 48-hour free trial to unlock this answer and thousands more. Enjoy eNotes ad-free and cancel anytime.
Related Questions
- Find the maximum volume of an open box made from 3ft by 8ft rectangular piece of sheet metal by...
- 1 Educator Answer
- A square sheet of metal of side a has squares cut on all its corners and the sides bent to form...
- 1 Educator Answer
- A 6×6 sq. sheet of metal is made into an open box by cutting out a sq. @ each corner and then...
- 1 Educator Answer
- Open-top boxes are constructed by cutting equal squares from the corners of cardboard sheets that...
- 1 Educator Answer
- This is a math project for class 10. Squares are cut from corners of a square sheet 10 cm and is...
- 1 Educator Answer
should the calculus or the trial and error method should be used for the project of class 10. because calculus is in 12th . so which is the safer side. which method to use???
Student Answers