SOLUTION: i need help with this question: One thousand cubes are arranged to form a large cube. All the surfaces of the large cube are painted. What fraction of the cubes are not painted at

Algebra.Com
Question 117097: i need help with this question: One thousand cubes are arranged to form a large cube. All the surfaces of the large cube are painted. What fraction of the cubes are not painted at all?
Answer by Edwin McCravy(20054)   (Show Source): You can put this solution on YOUR website!

I need help with this question: One thousand cubes are arranged to form
a large cube. All the surfaces of the large cube are painted. What 
fraction of the cubes are not painted at all?

Since there are 1000 blocks, and since the cube root of 1000 is 10,
the large cube is 10x10x10. If we take away the outer shell of painted 
blocks, the only ones which are painted, there will be a 8x8x8 cube left.
(Remember out of each face we must take off the laft row and and the right
row of blocks, that's why there are 2 less than 10 on each side).

So the answer is  =  = 

Edwin

RELATED QUESTIONS

Pls help me with this qn: One thousand cubes are arranged to form a large cube. All the... (answered by checkley71)
Please help me to get how to solve this problem. Thank you! Here it is... There are... (answered by scott8148)
A Lego set has 27 cubes each of edge 1cm. A child puts them together to make one large... (answered by josmiceli)
Please solve this question, A cube with sides of 6cm is built out of 1 cm cubes. The... (answered by math_helper)
A 6x6x6 cube is constructed of 1x1x1 cubes. The faces of the large cube are then painted. (answered by robertb)
Jenny build a pyramid out of sugar cubes to model a Mayan pyramid. Each layer is a solid... (answered by solver91311)
If you want to fill a cube with a volume of 11.39 inches with tiny cubes that had a side... (answered by Alan3354)
A rectangular Cube with sides measuring 4 cm, is made with one cm blocks. Two straight... (answered by greenestamps)
Please solve this question, A cube with sides of 6cm is built out of 1 cm cubes. The... (answered by greenestamps)