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27. Cubic Holes

The two cubes below have been 'drilled' through as shown. How many small cubes are left in each of the shapes?


 


 

Scroll down the page for the answer.


 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 

20 cubes remain out of 27 in the first cube, and 70 out of 125 are left in the second cube. The easiest way to see this is to draw the layers out separately.
 

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