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parallelepiped, given relation between dimensions

Source: Moldova 2000 Grade 8 P8

April 25, 2021
geometry3D geometry

Problem Statement

A rectangular parallelepiped has dimensions a,b,ca,b,c that satisfy the relation 3a+4b+10c=5003a+4b+10c=500, and the length of the main diagonal 20520\sqrt5. Find the volume and the total area of the surface of the parallelepiped.
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