SOLUTION: FIND THE VOLUME AND THE TOTAL AREA OF THE LARGEST CUBE OF WOOD THAT CAN BE CUT FROM A LOG OF CIRCULAR CROSS SECTION WHOSE RADIUS IS 12.7 INCHES?

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Question 629027: FIND THE VOLUME AND THE TOTAL AREA OF THE LARGEST CUBE OF WOOD THAT CAN BE CUT FROM A LOG OF CIRCULAR CROSS SECTION WHOSE RADIUS IS 12.7 INCHES?
Found 2 solutions by solver91311, Alan3354:
Answer by solver91311(24713) About Me  (Show Source):
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Answer by Alan3354(69443) About Me  (Show Source):
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FIND THE VOLUME AND THE TOTAL AREA OF THE LARGEST CUBE OF WOOD THAT CAN BE CUT FROM A LOG OF CIRCULAR CROSS SECTION WHOSE RADIUS IS 12.7 INCHES?
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The cube's diagonal (on a face) is the diameter of the log, = 25.4 inches
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The cube's edges = diag*sqrt(2)/2 =~ 17.96 inches
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Vol = s^3 = 5793.7 cubic inches
Area = 6s^2 = 1935.5 sq inches
(assuming the log is >= 18 inches long)