if you were to cut congruent suares out of each of the corners, you could fold up all four sides. If you then soldered the cut edges together, you would have a container which might be used as a sandbox.\nHow big should the cut out squares be to make the sandbox capable of holding the most sand?\nBE SURE TO INCLUDE ALL WORK AND EXPLAIN YOUR WORK...IF YOU USE VARIABLES (i e "x"), label it...this goes for those who want to be voted best answer\nGOOD LUCK!!!
206104
Let x = length of the corner being cut out.\nThe volume is then\nV = x(12-2x)(8-2x)\nV = x(96 - 24x - 16x + 4x^2)\nV = 4x^3 - 40x^2 + 96x\nTake the derivative of V\nV' = 12x^2 - 80x + 96\nSet equal to 0 and solve for x\n12x^2 - 80x + 96 = 0\n3x^2 - 20x + 24 = 0\nx = (2sqrt(7) + 10)/3\n= 5.097 or 1.569\n12-2(1.569) = 8.861\n8-2(1.569) = 4.861\nThus, the dimensions are\n1.569 by 8.861 by 4.861
310669
Come on, use your imagination and do it yourself!  This is not hard at all!\n\n(good one, goth_brat)
104104
Wow, thats a tuff one. Have you considered cardboard or wire and fabric? How much time do you have because this seems like a time consuming task. You could look on the internet fo ideas that might help you out. It depends on what you want it to look like.
389628
Divide the right angle into three equal parts, or three 30-degree angles.\n\nSounds like homework to me (which, hey, I'm cool with!), as if you owned this parcel this is NOT the way you'd want to divide it for real -- you wouldn't want three neighbors all bunched up like that at the confluence of the former right angle.\n\n.
116888
Well, you COULD make it thick enough to keep the sound inside, but that's too much work.\n\nOr do what the guy above me said.  Considering this is a science project, I doubt you have the means to do that... so...\n\nThe key is to line the walls with as much AREA as possible.  Like.... something with a lot of sides.  Have you ever seen the sound booths, with the cones and stuff sticking out of the walls?  The more the sound reflects off the walls many different angles, the less gets out.   Also something nice and obsorbent like carpet would be good.\n\nMaybe take a box, line it with carpet, and then cut some cardboard into wave like shapes and glueing them onto the carpet.
418598
My main problem is 'entouring'  I presume that you mean surrounding but I can see no reason for it. If you already have a 5m by 5m square enclosure then why waste fencing going around the enclosed sides? If you do you have only 7metres length of fencing left on one of the box sides to bow out to enclose a bit of grass and it would be much more sensible to terminate the ends of your fence at the ends of one face of the box leaving an area for grazing which is that part of a circle with an arc of 22m and a chord of 5m length formed by the box.  Leaving aside the practicalities of the problem ( need for a lot of fence posts to get a partly circular fence - the fact that sheep are of finite thickness so can't squeeze through small gaps or graze in very thin areas ) then a circle of radius roughly 4.35metres almost meeting at the corners of one face of the box will do the best job.\n\nAh! - added later : \nso you need to solve simultaneous equations, something like  r*theta=7 and r*sin(theta/2)=5/2 \n\nThere's something in Euclid about the length of a chord which might be more direct but I can't remember it. \n\ntheta = sin(theta/2)*14/5  and you should be able to expand sin(theta/2) in a series involving theta\nsin(x) = x −x^3/3! + x^5/5! - ...... and solve aproximately or use some identity involving e^(ax) \n\nsin(x) = 0.5i*[ e^(ix) - e^(-ix) ]\n\nwhich leaves you solving for 10/14*theta = ie^itheta/2 - ie^(-itheta/2) . hmm \n- check out euclid or solve graphically to get r~=2.55metres, theta about 1.3725*2 radians.
420893
Alternatively, you might way to try filling a 17" x 17" x 7" box with tiny chopped up styrofoam.  You might have to experiment with the size to make sure that the egg doesn't push all the way to the bottom and crack.  The idea is to maximize the size of the crater the egg will make without bottoming out, which means maximum distribution of transferred kinetic energy. Maybe you can have larger pieces at the bottom, and use sucessively smaller pieces towards the top of the box, to avoid having to experiment much with the sizes.
143153
fold it like an accordion, then add pieces to sandwich it (with glue) to make corrugated cardboard. Or make a lot of perpendicular pieces into a honeycomb and glue those into a sandwich.
357611
Find the closest brick like shape lxbxh, also closest spherical shape by mean radius. Then by water displacement find the volume. Then find the surface area taking those regular shapes. Then make an avrage of the two. If the mango is long then take cylindrical shape intead of spherical.\n\nOtherwise put soft, wet tissue paper without much wrinkle like a paste/coating (you may tear some pieces and use small pcs). Then dry it. Peel off carefully. Place on a graph paper and measure. You may cut and paste.
512161
You haven't given me any information with which to solve this problem.  How big are the blocks?  How much do the blocks weigh?  How far apart are they?  How much resistance is there when I push the first block?   How fast is the first block going when it is pushed?  Without all this I cannot figure out how much momentum is lost between the time the first block is pushed and when it hits the second block or if the second block will have enough momentum to move at all or make the third block move if it contacts it.\n\n\nBy the way, you cannot solve this without knowing how much each block weighs, how much momentum it has to begin with, how much friction there is (to reduce momentum), and how far each block has to travel before it contacts the next one.    You need to have the variables to create a formula. \n\nGeeze, don't you hate it when idiots try to act smart????
91120
It depends on the object.  You find the area of all the sides and then add them together.
345048
I have worked in day cares and I have found that if you put the sand out and keep it out all the time. (in its separate box) the children get use to it. Sand is front to play with wet but will have to be changed often. I would Put seashells, toys and little scooper's. Then I would have it as part of a curriculum. :) If you do this the kids will love to dig cool surprises out and will be safely learning about sand. :) That is what always worked with me. Good luck!
276005
Get a shovel and a pail and go to the beach. Pound some sand..into the pail, I mean, and you'll have a great source of it.\n\nOr break a window.
13303
Start with a multi-cut-out prototype & tape.  Once you've figured the sizes for your parts, disassemble and use a prototype 1-piece pattern with tabs & slots to hold it together.  Work it till it works  :-)
28610
This sounds so excessive! What a crazy teacher you must have. :)\n\nAlright - well...\nThe gravel is the easy part. Use the screen as a sift and hopefully the screen will be fine enough that none of the gravel will get through. \n\nNow the plan of action is dump the powder and salt in the water. [Which I guess will be done in Cup #1.] You'll filter out the powder. The salt will dissolve in the water, and you will evaporate the water later. The question is how to do this with what you have.\n\nI'm thinking the craft sticks are to hold up the funnel. Arrange them over the top of the cup [Cup #2] so that they make a triangle and see if it'll hold up the funnel. \n\nPut a filter paper in the funnel. Pour the mixture in and the powder will collect in the funnel. When you're done, take out that first filter paper and set it aside. Then set up your funnel in Cup #3 with the second piece of paper and filter the mixture a second time just to make sure you got all of the powder.\n\nI was trying to think of what the syringe could possibly be for, and the only thing I can think of is to take the salt-water out of Cup #3 and into the evaporation dishes.\n\nNo idea what the magnifying glass is for.\n\nBut the basic idea is that you sift out the gravel, mix the powder&salt in water, fliter out the powder, then dissolve the water.
465974
If the soils removed from the excavation aren't too wet then use the same soils. \n Why do you have post tension cables on a slab on grade design?\n If you are trying to bring the subgrade level across the whole floor area to minimize the purchase of extra concrete ,then sand would prob. be the way to go.
39197
I asked that same question to my teacher last time. She told me that I have to Seperated the shape into different common shapes. (for example like lets say I wanted to seperate a "square" into some common shapes I could turn it into two seperate triangles or four different triangles. Well Just try to use the formulas you know for the areas of the different disected figures you get.