Posted by casidhe on Friday, April 20, 2012 at 11:32pm.
An open box is to be made out of a 8inch by 14inch piece of cardboard by cutting out squares of equal size from the four corners and bending up the sides. Find the dimensions of the resulting box that has the largest volume.
Dimensions of the bottom of the box:
Height of the box:

calculus  Steve, Saturday, April 21, 2012 at 5:31am
see related problems at the links below. Same technique; just change the numbers.

calculus  Miranda, Friday, October 19, 2012 at 8:50am
5.6

calculus  sadia khan, Saturday, January 19, 2013 at 3:02am
an open box of rectangular base is to be made from 24 cm by 45cm cardboard by cutting out squares sheets of equal size from each corner and bending the sides.find the dimensions of the corner squares to obtain a box having largest volume.

calculus  honno, Monday, September 14, 2015 at 7:17am
an open box with dimensions 2 by 3 by 4 inchesneeds to be increased in size to hold 5 times as much material as the current box. ehat would be the new dimension of the new box?
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