Problem 52679. Easy Sequences 16: Volume of Embedded Octahedron

• Created by Ramon Villamangca
• Appears in 2 groups

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Easy Sequences Volume II

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An octahedron (not regular) is formed by joining the centers of the faces of a rectangular parallelepiped (see below figure).

Given the dimensions of the rectangular parallelepiped (length, width and height), calculate the volume of the embedded octahedron. Please output the integer part of the volume in modulo 1000003.

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Solution Stats

61.54% Correct | 38.46% Incorrect

• 13 Solutions
• 8 Solvers

Last Solution submitted on Oct 28, 2023

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