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Gold-in pyramid (Posted on 2020-10-06) Difficulty: 3 of 5
A right pyramid has a unit square base ABCD and vertex V. Its height is 1 unit.

Points E and F are on CV and DV respectively such that ABEF is a plane section that splits the pyramid into two pieces of equal volume.

Find the length EF.

See The Solution Submitted by Jer    
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Hints/Tips Simpler solutions exist | Comment 5 of 6 |
I just want to point out that a simple geometric solution is possible (I solved it using calculus before I realized it.)
  Posted by Jer on 2020-10-09 21:56:27
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