A 6x10x14 rectangular cuboid is made by stacking together 6*10*14 = 840 unit cubes. An elliptic cone having minor axis = 6 units; major axis = 10 units, and height = 14 units is cut out of the cuboid by means of an infinitely thin laser-like cutting tool.

How many unit cubes will stay undamaged inside the elliptic cone?

Sliced Cube = Square Pyramid | Rating: 2.00
Posted on 2010-06-02 by K Sengupta (No Solution Yet, 6 Comments)

Another hour-glass |
Posted on 2010-03-15 by Larry (No Solution Yet, 3 Comments)

Triangles with no area |
Posted on 2009-12-30 by brianjn (Solution Posted, 9 Comments)

Checkerboard Dissection |
Posted on 2009-11-23 by Brian Smith (No Solution Yet, 3 Comments)

Through the Hole |
Posted on 2009-11-09 by Brian Smith (No Solution Yet, 2 Comments)

9 points to convex pentagon |
Posted on 2009-10-12 by Jer (No Solution Yet, 4 Comments)

5 points to convex quad |
Posted on 2009-10-05 by Jer (No Solution Yet, 4 Comments)