3 cubes are arrnge side by side and each cube is / into 64 cubes and top layer of 2nd and top 2 layers of 3rd?
814455
0 with 4 faces, 24 with 3 faces, 60 with 2 faces, 48 with 1 face and 12 with 0 faces.  \nNote, this is if the 3 cubes were not touching each other.  I made an assumption when you said that they were originally 3 separate cubes.  I believe, after reading the second answer, that I made an incorrect assumption since you said "total volume".  If the 3 cubes were touching each other when painted, I am wrong.
671808
4 sides and corners in a square
375748
All squares are rectangles,\nall parallelograms are quadrilaterls\nand all squares are parallelograms
544364
You can divide the cube into 9 1x3x3 slices.\n\nEach one contains the following prisms:\n1x1x2: 12\n1x1x3: 6\n1x2x2: 4\n1x2x3: 4\n1x3x3: 1\nSubtotal 27 x 9 = 81\n\nYou can divide the cube into 6 2x3x3 slices.\nEach one contains the following prisms that weren't counted above:\n\n2x2x2: 4\n2x2x3: 4\n2x3x3: 1\n\nSubtotal 9 x 6 = 54\n\nThat's 135.\n\nIf you count the 3x3x3, you have 136.
984888
it would be 2/3 of the original surface area\n\nOriginal Cube Surface Area:\n6 sides.....one side = Length * Width\n6*L*W\n\nIf you cut it exactly in half, you have 2 sides that are still Length * Width, and 4 sides that are HALF Length * width....so u can combine those 4 halves to make 2 wholes and ur surface area will be 4 (Length*Width)'s\n\nmaking it 4/6th of the original surface area\nsimplifying gives u 2/3
365408
do your times tables in your head. 2x2 is 4. 2x3 is 6.....
306958
60\n\n3x4=12\n\n12x5=60\n\nYou should review your algebra skills. A, B, and X are all variables, meaning they represent numbers. This problem tells you what the variables are, so you just substitute them in. Therefore Y=3x5x4
1070589
Assuming you mean as 4 shapes equivalent to the original L shape, the answer is given in the attached image.
992764
64.\n\n1 cubed = 1\n2 cubed =8\n3 cubed =27\n4 cubed =64\n5 cubed = 125 etc.
464335
I normally hate referring people to wikipedia articles, since it is so often inaccurate, but this one is quite good (link is below).  If you scroll down, there is a table that gives just what you're looking for.\n\n2x2 grid: 288 possible solutions\n3x3 grid: 6.7*10^21 possible solutions!
1169447
The Cube has 43,252,003,274,489,856,000 different possible configurations.\n\nI cheated and looked up the answer, but to figure it out you'll want to use combinatorics.  I'll have to work on that part of it...\n\nIf you're taking the cube apart and counting how many different ways you can put it back together, this is a relatively simple problem (although it doesn't match the above answer).\n\nThe center cubes don't move at all, so there is only one possible configuration of them.\n\nThere are 12 edge cubes, which each have 2 outside edges and therefore two orientations for each location.  The number of possible combinations of these edges is (2*12)*(2*11)*...*(2*2)*(2*1) = (2^12)*12!\n\nThere are 8 corner cubes, which each have 3 outside edges and therefore three orientations for each location.  The number of possible combinations of these corners is (3*8)*(3*7)*...*(3*2)*(3*1) = (3^8)*8!\n\nMultiply the number of possible combinations of edge cubes by the number of possible combinations of corner cubes and you end up with 519,024,039,293,878,300,000 combinations.  \n\nThis is different than the answer I looked up because there are possible combinations when you take the cube apart that cause it to no longer be solvable.  I can't think of an easy way to find the number of combinations that keep solvability.
937032
I'm assuming:\nThe box has a square top and bottom.\nThe volume v is fixed.\nr is the length of a side of the top.\nh is the height of the box.\n\nv = r^2*h\nh = v/r^2\n\nThe surface area is a top and bottom both r x r and\nthe sides which are r x h.\n\nArea = 2*r^2 + 4*r*h = 2^r^2 + 4*r(v/r^2) = 2r^2 +4v/r\n\ndA/dr = 4r -4v/r^2\n\nSet to 0 and solve\n0 = 4r -4v/r^2\n\n0 = 4r^3 -4v\n0 = r^3 - v\nv = r^3, or  r = v^(1/3)\nThat means that the container is a cube.
1168832
180\n\nmade up of\n54 - 2 cube prisms\n27 - 3 cube prisms\n36 - 4 cube prisms\n36 - 6 cube prisms\n9 - 9 cube prisms\n12 - 12 cube prisms\n6 - 18 cube prisms
884978
There are numerous solving strategies... too long to explain here.  Most people work a layer at a time (top third, middle third and bottom third).  There are other strategies that align the corners then do the middle squares.\n\nI would just do a search of the web and you'll find lots of information on solving the cube, speed cubing, blind cubing, etc.
306191
a) cube...final answer
529872
Easy H*D*W    H=Height D=Depth W=Width *= times\n\nUse the units cubed, if it is meters use m^3 as the unit of measurement
977457
1 to 64k.. so there exists about 40 cubes (1^3, 2^3...  39^3, 40^3)..  and sum of 4 cubes. that's like. "40 choose 4" (combinatorics) so that comes out to be about 91390 combinations of 4 cubes and then you just find the cube roots of each. each should have its own cube root. and 91 thousand isn't too bad for an average computer to handle. i suggest you program a computer to do it for you. it wouldn't be hard, just basic programming language.\n\nif you cant do that, then i suggest you try to narrow down what you're looking for...