document.write( "Question 126814: The volume of a rectangular pool is 1,080 cubic meters. Its length, width, and depth are in the ratio 10:4:1. Find the number of meters in each of the three dimensions of the pool. \n" ); document.write( "

Algebra.Com's Answer #92894 by Earlsdon(6294) $\"\"$ $\"About$

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Try this:
\n" ); document.write( " $\"V+=+%2810%29x%2A%284%29x%2A%281%29x\"$ V = 1080 Cu m
\n" ); document.write( " $\"1080+=+10x%2A4x%2Ax\"$
\n" ); document.write( " $\"1080+=+40x%5E3\"$ Divide both sides by 40.
\n" ); document.write( " $\"27+=+x%5E3\"$ Take the cube root of both sides.
\n" ); document.write( " $\"3+=+x\"$
\n" ); document.write( "The dimensions are:
\n" ); document.write( "Length: $\"10x+=+10%283%29\"$ = $\"30\"$ meters.
\n" ); document.write( "Width: $\"4x+=+4%283%29\"$ = $\"12\"$ meters.
\n" ); document.write( "Depth: $\"x+=+3\"$ + $\"3\"$ meters.
\n" ); document.write( "Check:
\n" ); document.write( " $\"V+=+L%2AW%2Ad\"$
\n" ); document.write( " $\"V+=+30%2A12%2A3\"$
\n" ); document.write( " $\"V+=+1080\"$ Cu.meters.\r
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