Difference between revisions of "1976 IMO Problems/Problem 3"
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== Problem == | == Problem == | ||
| − | + | A box whose shape is a parallelepiped can be completely filled with cubes of side <math>1.</math> If we put in it the maximum possible number of cubes, each ofvolume, <math>2</math>, with the sides parallel to those of the box, then exactly <math>40</math> percent from the volume of the box is occupied. Determine the possible dimensions of the box. | |
== Solution == | == Solution == | ||
Revision as of 10:39, 26 February 2008
Problem
A box whose shape is a parallelepiped can be completely filled with cubes of side 
If we put in it the maximum possible number of cubes, each ofvolume, 
, with the sides parallel to those of the box, then exactly 
percent from the volume of the box is occupied. Determine the possible dimensions of the box.
Solution
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See also
| 1976 IMO (Problems) • Resources | ||
| Preceded by Problem 2 |
1 • 2 • 3 • 4 • 5 • 6 | Followed by Problem 4 |
| All IMO Problems and Solutions | ||
