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USAMO 1976 Problem 4

  • Day 2
  • Answer

A tetrahedron ABCD has edges of total length 1. The angles at A (BAC etc) are all 90∘90^{\circ}. Find the maximum volume of the tetrahedron.

Dataset text NuminaMath olympiads. Quoted with source.

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(2 \sqrt{2}-7) / 162

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