1. The problem statement, all variables and given/known data Problem - If the volume of the carry-on luggage is 2000 cubic inches, determine two possibilities for its depth. Where necessary, round to the nearest tenth of an inch 2. Relevant equations V(x) = x(x+10)(30-2x) Volume function is given above 3. The attempt at a solution I like to think I learn Math logic well, and I love Math...but this problem has me stumped...something is just not clicking in my brain when I try to start solving this problem. Now I set up the problem: 2000 = x(x+10)(30-2x) I then said OK, I need to solve for x and by doing that I will find 1 solution, or maybe both, but I can't figure out how to combine the x's into one and then solve for the 1 remaining x. I tried finding the zeros of the 3 factors, but then wondered to myself why did I do that, it doesn't seem I need to do that. I was unable to ask my professor help on this problem because this was the last problem on my homework and I left the last couple of questions for today so I can bring in all my homework tomorrow (which is when it is due anyway) and I didn't think I would run into a mindwreck of a problem like this...not to mention this problem has a chance to be on the test tomorrow!! Would really appreciate help in solving this problem.