Problem:
A solid box is  by  by . A new solid is formed by removing a cube  on a side from each corner of this box. What percent of the original volume is removed?
Answer Choices:
A.  
B.  
C.  
D.  
E.  
Solution:
The total volume of the eight removed cubes is cubic centimeters, and the volume of the original box is cubic centimeters. Therefore the volume has been reduced by .
Answer: .
The problems on this page are the property of the MAA's American Mathematics Competitions