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 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 15:46, 24 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 a shadow, which does not include the area beneath the cube is 48 square centimeters. Find the greatest integer that does not exceed 
.
