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Omni-MATH / If the sum of the lengths of the six edges of a trirectangular tetrahedron…

Problem

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problem

If the sum of the lengths of the six edges of a trirectangular tetrahedron PABCPABC (i.e., ∠APB=∠BPC=∠CPA=90o\angle APB=\angle BPC=\angle CPA=90^o ) is SS , determine its maximum volume.
Plain-text mathematical notation (without MathML)
If the sum of the lengths of the six edges of a trirectangular tetrahedron PABC (i.e., ∠APB=∠BPC=∠CPA=90^(o) ) is S , determine its maximum volume.
Original LaTeX notation
If the sum of the lengths of the six edges of a trirectangular tetrahedron $PABC$ (i.e., $\angle APB=\angle BPC=\angle CPA=90^o$ ) is $S$ , determine its maximum volume.

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Source and history

task_id
0f3e79ef-f892-5b36-acc0-966561553ce8
task_key
test--0f3e79ef-f892-5b36-acc0-966561553ce8
task_revision_id
1
config / split
/ test

Official source

initial import