00:01
As we're looking at this problem, we know that the width times length in the problem is equal to 240 square inches.
00:08
And if you look closely as well to the picture, they, i guess, give you this visual that you're cutting on each side two inches.
00:22
So if you were to fold this box up, trying to make this seem, at least look like a box to some extent.
00:30
Not very artistic but you might get the point that what is important though is the width times length well it's not quite the width and the length because the width included these pieces so what i'm talking about is because they told you it was cut two inches on either side well the length of i'll just call it this you know i called that two didn't i so i should call this length w, not just minus 2, because there's 2 on this side and minus 2 on this side, so it's minus 4.
01:11
Same thing with the length as those 2 on this side and 2 on this side, so it's got to be minus 4.
01:17
Hopefully that makes sense.
01:20
So the volume in this problem is not just length times what times height, but w minus 4 times l minus 4 times 2, and they tell you that the volume in this problem is 256.
01:34
I think what i would also do is i don't know solve for w so for l doesn't really matter but it's 240 divided by l so i would rewrite this problem i guess what you could also do is let's just leave this the way it is is a w minus four times l would be 240 over w i think i wrote it backwards but it would be the same either way, times 2 is equal to 256 still.
02:19
Actually, i would probably divide that 2 over to make it a little bit nicer.
02:24
256, divided by 2 is 128.
02:30
And if you start to foil this out, you'll get 240 minus 4w, minus 240 times 4 is 960 over w, and 4 times 4, and 4 times 4 is 6.
02:49
And let's see, what would be a good approach to this? maybe subtract the 240 and subtract 16 over 28 minus 240 minus 16 is negative 128.
03:10
I think i would also multiply everything by w just to get rid of this w...