Difference between revisions of "1996 AIME Problems/Problem 4"
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== Problem == | == Problem == | ||
| − | A wooden cube, whose edges are one centimeter long, rests on a horizontal surface. Illuminated by a point source of light that is <math>x</math> centimeters directly above an upper vertex, the cube casts a shadow on the horizontal surface. The area of | + | A wooden cube, whose edges are one centimeter long, rests on a horizontal surface. Illuminated by a point source of light that is <math>x</math> centimeters directly above an upper vertex, the cube casts a shadow on the horizontal surface. The area of the shadow, which does not include the area beneath the cube is 48 square centimeters. Find the greatest integer that does not exceed <math>1000x</math>. |
== Solution == | == Solution == | ||
Revision as of 06:28, 25 September 2007
Problem
A wooden cube, whose edges are one centimeter long, rests on a horizontal surface. Illuminated by a point source of light that is 
centimeters directly above an upper vertex, the cube casts a shadow on the horizontal surface. The area of the shadow, which does not include the area beneath the cube is 48 square centimeters. Find the greatest integer that does not exceed 
.
Solution
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See also
| 1996 AIME (Problems • Answer Key • Resources) | ||
| Preceded by Problem 3 |
Followed by Problem 5 | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 | ||
| All AIME Problems and Solutions | ||
