00:02
Hi, today we are solving the question in which we are given that an open box is to be made from a flat piece of material that is 11 inches long, that is l is equal to 11 inches given, and breadth is equal to width, that is 5 inches white.
00:22
So, an open box is made by cutting equal squares of length x from the corners and folding up the sides.
00:33
So here l is given as 11 minus 2x and breath is given as 5 minus 2x and h is given as x inches so volume is equal to l into b into h.
00:54
So here by putting the values in the formula we get 11 minus 2x whole into 5 minus 2x whole into 5 minus 2x.
01:05
Hole into x so that is greater than 0 because volume of open box is always greater than 0 so then x is greater than 0 so 11 minus 2x is greater than 0 so 2x minus 11 is smaller than 0 so 2x is smaller than 11 by adding 11 on both side so x is smaller than 11.
01:37
So x is smaller than 11.
01:37
So x is smaller than 11.
01:38
By 2.
01:39
So we can say that it is equal to 5 .5.
01:44
So therefore x belongs to 0 and 5 .5...