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Possible solutions - using your rules are:- 11,13,17,31,33,37,71,73 &77
By using front end estimation, the numbers that you start of with have only one significant digit. It is, therefore, nonsense to have an answer with loads of significant digits.
Using the digits of 1345678, there are 210 three digit numbers in which no digit is repeated.
The answer is 35000 cubic feet.