Problem 52679. Easy Sequences 16: Volume of Embedded Octahedron

Created by Ramon Villamangca

Solve Later

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.

Solve

Solution Stats

16 Solutions
9 Solvers

Last Solution submitted on Nov 27, 2025

Last 200 Solutions

Problem Comments

2 Comments

2 Comments

David Hill on 11 Sep 2021

I can not get your answers for test4 and test5. I checked using symbolic and obtained different answers from yours after passing tests 1-3 (my volume equation is correct).

Ramon Villamangca on 12 Sep 2021

Hi David, can you publish your solution, please? Thanks.

Solution Comments

Show comments

Problem Recent Solvers9

Problem Tags

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!

Problem 52679. Easy Sequences 16: Volume of Embedded Octahedron

Solution Stats

Last 200 Solutions

Problem Comments

Solution Comments

Problem Recent Solvers9

Suggested Problems

More from this Author116

Problem Tags

Community Treasure Hunt

Problem 52679. Easy Sequences 16: Volume of Embedded Octahedron

Solution Stats

Last 200 Solutions

Problem Comments

Solution Comments

Problem Recent Solvers9

Suggested Problems

More from this Author116

Problem Tags

Community Treasure Hunt

Players