SOLUTION: PLS. HELP ME SOLVE THIS PROB. THANK YOU SO MUCH... FIND THE VOLUME AND TOTAL AREA OF THE LARGEST CUBE OF WOOD THAT CAN BE CUT FROM A LOG OF CIRCULAR CROSS SECTION WHOSE RADIUS

Algebra ->  Surface-area -> SOLUTION: PLS. HELP ME SOLVE THIS PROB. THANK YOU SO MUCH... FIND THE VOLUME AND TOTAL AREA OF THE LARGEST CUBE OF WOOD THAT CAN BE CUT FROM A LOG OF CIRCULAR CROSS SECTION WHOSE RADIUS      Log On


   

Question 404191: PLS. HELP ME SOLVE THIS PROB. THANK YOU SO MUCH...
FIND THE VOLUME AND 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
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
I will answer only the volume.
sqrt%282%29%2As+=+25.4 ==> s+=+12.7%2Asqrt%282%29 inches.
==> V+=+s%5E3+=+%2812.7%2Asqrt%282%29%29%5E3+=+12.7%5E3%2A2sqrt%282%29+=+4096.766sqrt%282%29 cu. in.
This is assuming that the log is at least s+=+12.7%2Asqrt%282%29 inches long.