Optimization Problem #5 - Max Volume of a Box Made From Square of Material

[Hokage696]

Thanks a lot...

greetings from germany

[gethisoverwithit]

oooooo, i finally see it visually why v(1) wont work. THX A LOT

[magazines823]

I have a question. At 0=4-16x-12x^2, couldn't you factor 4 out and have 0=4(3x^2-4x+1)?

[prmchuk]

@magazines823 thts....wat he did. factoring is just a fancy word for dividing.....

[23SuS23]

this maybe a weird question but uhh, do you not have a pinky on your left hand? lol

[Spacexchild]

You helped me pass Calc 1-3 with an A, and took the stress out of every test, and your techniques have made me a better a tutor myself. Thank you for helping me gain my math-esteem. 

[patrickJMT]

@Spacexchild super happy that i could do that for you : )

[ICarnag3I]

Haha, you make --arguably-- the hardest topic in calc 1 easy. = ]

[patrickJMT]

@ICarnag3I glad i could help : )

[TheDarkIllusionists]

What happened to your whiteboard?

[akbieniek]

my only issue, i am a bad box builder.

[FootballSoldier11]

so much for 10 minute time limit :) just kidding i love your videos, I am very much grateful!!

[xUmberBlackstonex]

thanks for making math easy :)

[AceAites]

"Unless youre a bad box builder !!!" LOL. Good sense of humor.

"What is 3x4? hmm whats 2x4..Wait what am i doing ? 3x4 is 12" LOL thanks so much for making these videos, even if it was super early in the morning, when you're not quite awake yet. This means a lot to us Calc students. :)

[patrickJMT]

@AceAites happy to help : )

[beachcomber2008]

The minimum surface/volume is a sphere

The maximum volume of a box is a cube

To get a cube from a square you divide the edge by three and notch away

It took longer to write that than to think it

I hope derivatives are useful in more complex ways that are themselves useful

Don't mind me... :)

[VongolabossX]

Shouldn't you just cube the length of one side?

[sjsawyer]

@VongolabossX The height of the box is not necessarily the same as the length or width.

[millamulisha]

Philosophical question here: how do you know the little cut parts are supposed to be squares? >.< lol jk jk. love me some calculus. In DiffEQ and loving it!

[Alexiaden93]

@millamulisha I understand you're joking but I feel like answering anyway...

#1 It says in the problem description that they are squares.

#2 If they weren't squares the box would have different heights, effectively meaning it is a pretty useless box...

[tulipbaby53]

Oh my gosh! I was so confused on optimization problems, and I have my calculus final tomorrow. I'm starting to get more clearer on them thanks to your videos!! Thank you so much! :-)

[Ravenex2]

@tulipbaby53 They are a pain....lol.