00:01
This equation a box with no top is to be constructed from a piece of cardboard whose length is 9 more than the width.
00:05
So it's already indicated over here.
00:07
This is a length w and the width is w plus 9.
00:12
And the measure a square, small squares of three inches from each side are cut and it is being folded to form a box.
00:21
All right.
00:22
So we have the volume of the box is given so we have to find the dimensions of the cardboard.
00:25
Okay.
00:25
In short, we need to find a value of w.
00:27
When we cut this up, this will become in w plus, 9 it was initially w plus 9 minus 3 minus 3 because this much part is being cut so minus 3 minus 3 means minus 6 so this much part likewise will be w minus 3 minus 3 which is again minus 6 and the height of the cardboard is going to be 3 because this 3 is going to come on top this 3 will be the height because that will be the part which will be elevated so the volume of this complete box the volume of the box is going to be length times bit length times which times height.
01:02
So that's going to be a length.
01:05
And length times width times height is already given to us as 210.
01:09
So let's substitute everything...