Einstein the Bird
So I’m doing studying for a calculus test I have tomorrow, and there’s this problem, right?
You have 200 square inches of cardboard and you need to make a box with the largest volume possible, and the width is 3 times longer than the length. Seems easy, and it is, but the concept and calculation are too VERY different things.
So I’m like: Alright, let’s make there only be one variable. Since we don’t know what the height is, we’ll put the height in terms of x. (x being the length).
So yeah, x is the length, 3x is the width, and I have to calculate the height in terms of x. Seems easy, yeah, it is, but IT’S A SUPER LONG AND TIRING PROCESS!
So I get started. We know the surface area is always going to be 200. So I set 200 equal to the formula for surface area, which is just taking the area of all sides and adding them together.
Ok, but it can’t just be super as simple as that, since the width is 3 times the length of the length. SOOOOOO, I had to do the math there and thankfully the are of the other sides were easy as pie.
So I did that and got my formula for surface area, BUT I’M NOT SUPPOSED TO BE LOOKING FOR SURFACE AREA! But I need it to put the height in terms of x, right.
So I do some rearranging and ok, I get h=(200-6x^2)/8x which I’m pretty sure is right.
SO THEN I HAVE TO GO ALLLLLLLL THE WAY BACK AND PUT THIS NEW “h” IN THE FORMULA FOR VOLUME!!
But no… you can’t be done with the problem yet, you still have all your hair and no stress pimples.
So you have to get this formula for volume and look for critical numbers, which is a odd process where I’ve never been able to explain, it just happens.THAT will take forever, since the form of the “h” is a butt.
Once I do that, I’ll have to check the values of the critical numbers and see which one is the biggest.
Once I figure all that out, I’ll ask myself: “Why on earth would I need this in my life?” and quit and go play Medal of Honor.
But I’ll try to keep from that.


