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Junior Regional Olympiad - FBH 2016 Grade 8 Problem 5

Source:

September 29, 2018
geometry3D geometryspherepyramid

Problem Statement

605605 spheres of same radius are divided in two parts. From one part, upright "pyramid" is made with square base. From the other part, upright "pyramid" is made with equilateral triangle base. Both "pyramids" are put together from equal numbers of sphere rows. Find number of spheres in every "pyramid"