So if your're trying to find the size of the square you have to cut out to make the largest volume, and assuming we're talking about an open top box.necromanzer52 said:They're discarded. Also the sheet of metal is 21 x 56. I'm supposed to find the largest possible volume of the box. But this is impossible unless the sheet of metal is a perfect square.Kinarth said:After you cut out the squares can they be re-used or are they discarded?necromanzer52 said:My maths homework. Incidentally, if someone knows how the fuck I could cut 4 equal squares out of the corners of a sheet of metal, fold up the sides, and get a box, then a little help would be great.
If you're just using the leftover metal then I don't think it's possible (assuming it's the expected rectangle shaped sheet)
Makes sense...Blue Hero said:I should be asleep, but I'm playing Dark Souls instead. Just need to kill the Bed of Chaos and I'll be off to sleep.
We have a local guy whose dad went over to do missionary work, and took him with him (as a baby) and now he's back sixteen years later and pervy as hell. Can you guys take him back?Anti Nudist Cupcake said:Nothing, South Africa summer holidays bitches.
You did this in high school? I've never seen anything like this before, and I'm in college.Lizardon said:So if your're trying to find the size of the square you have to cut out to make the largest volume, and assuming we're talking about an open top box.necromanzer52 said:They're discarded. Also the sheet of metal is 21 x 56. I'm supposed to find the largest possible volume of the box. But this is impossible unless the sheet of metal is a perfect square.Kinarth said:After you cut out the squares can they be re-used or are they discarded?necromanzer52 said:My maths homework. Incidentally, if someone knows how the fuck I could cut 4 equal squares out of the corners of a sheet of metal, fold up the sides, and get a box, then a little help would be great.
If you're just using the leftover metal then I don't think it's possible (assuming it's the expected rectangle shaped sheet)
Side 1 = 21 - 2x
Side 2 = 56 - 2x
Where x is the length/width of the squares removed
Therefore the volume of the box is (21-2x)(56-2x)x
Then find the derivative and solve for when it equals zero
I get 14/3 and 21
We can ignore 21 as that would leave us with a width of zero. So put 14/3 into the original volume equation to find which is the maximum volume.
So my answer would be 68600/27 or approximately 2540.740
That's how I remember doing that type of question in high school.
Anyway right now I probably should be sleeping.