00:01
Okay, we know volume is length times width times height.
00:02
So let's do a little simplifying here.
00:04
L times l is i'm just going to do these parts here is l squared.
00:08
We got a 1l plus another 3l gives us 4 l's, and then 1 times 3 is 3.
00:14
So that's going to be all multiplied by l.
00:17
And let's just go ahead and subtract 1430 from both sides.
00:24
The equation now, might as well.
00:27
And set it equal to 0.
00:30
Okay, so now we have l to the third plus 4l squared plus 3l minus 1 ,430 is equal to 0.
00:42
Unfortunately, for the rational zero theorem, there are so many factors of this number here that it really is not that useful.
00:50
There's plus or minus 1, obviously.
00:52
There will always be plus or minus 1.
00:54
Plus or minus 2.
00:57
If i'm looking at this, i actually have to decide.
01:01
If it's divisible by three, it's not divisible by three.
01:05
I can't tell you off the top of my head if it's divisible by four.
01:09
I'll double check real quick.
01:10
It is not.
01:12
Clearly divisible by five.
01:16
So we've got plus or minus five to check.
01:19
Not divisible by six if it isn't divisible by three, not divisible by seven, not divisible by eight, if it isn't divisible by nine, and obviously divisible by 10...