Problem 52985. Easy Sequences 47: Boxes with Prime Edges
This is related to problem "Easy Sequences 41: Boxes with Integer Edges". However, here we will be investigating a smaller-sized set, namely, the set of rectangular-faced boxes with edges representable by (not necessarily distinct) prime numbers.
Given a volume limit, v, we are asked to find the average volume of all boxes with prime edges, whose volumes are less than or equal to v.
For example for
cubic units, all
possible prime-edged boxes are given below:
Their average volume is:
cubic units.
Please present your answer in 4 decimal places.
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