1996 AIME Problems/Problem 4

Revision as of 14:46, 24 September 2007 by 1=2 (talk | contribs) (Solution)

Problem

A wooden cube, whose edges are one centimeter long, rests on a horizontal surface. Illuminated by a point source of light that is $x$ 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 $1000x$.

Solution

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See also