document.write( "Question 155408: A shipping crate is to be constructed with its length six times the size of its width, and its height one-third the size of its length. The volume of the box must be 6144 cubic inches. Find the dimensions of the box.\r
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Algebra.Com's Answer #114450 by checkley77(12844)\"\" \"About 
You can put this solution on YOUR website!
L=6W
\n" ); document.write( "H=L/3
\n" ); document.write( "LWH=6144
\n" ); document.write( "6W*W*L/3=6144
\n" ); document.write( "6W*W*6W/3=6144
\n" ); document.write( "36W^3/3=6144
\n" ); document.write( "12W^3=6144
\n" ); document.write( "W^3=6144/12
\n" ); document.write( "W^3=512
\n" ); document.write( "W=CUBERT512
\n" ); document.write( "W=8 FOR THE WIDTH
\n" ); document.write( "L=6*8=48 FOR THE LENGTH
\n" ); document.write( "H=48/3=16 FOR THE HEIGHT.
\n" ); document.write( "PROOF:
\n" ); document.write( "8*48*16=6144
\n" ); document.write( "6144=6144\r
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