volume of the box is 6*5*4 = 120
volume of a cube is 2*2*2 = 8
number of cubes that can fit in the box is 120/8 = 15
oh wow...now i see why...this a VERY tricky question
if you think of a box whose length is 6, width is 5 and height is 4, then only six boxes can fit at the bottom, and an additional six on top. You really have to draw the actual box and compare the length and width with the dimensons of the cube to see why 15 wont fit...
where's this problem from? this has me a little nervous
It doesn't matter how you draw the box, you know you're not going to be able to completely fill the box since one side is 5 units and an individual cube is 2. Thus the easy approach is to see how many cubes go into each side:
3 go into 6, 2 go into 4 and 2 go into 5. Thus there are 3*2*2=12 total cubes that can go into the box.
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