document.write( "Question 168680: 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 #124331 by Earlsdon(6294)\"\" \"About 
You can put this solution on YOUR website!
The length (L), width (W), and depth (D) are in the ratio of 10:4:1.
\n" ); document.write( "The volume is given as 1080 cu meters.
\n" ); document.write( "The formula for the volume of the pool ( a rectangular prism) is:
\n" ); document.write( "\"V+=+L%2AW%2AD\" Substitute V = 1,080, L = 10x, W = 4X, and D = x.
\n" ); document.write( "\"1080+=+%2810x%29%284x%29%28x%29\" Multiply.
\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( "\"x+=+3\"
\n" ); document.write( "The length (L) is 10(3) = 30 meters.
\n" ); document.write( "The width (W) is 4(3) = 12 meters.
\n" ); document.write( "The depth (D) is 1(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+=+360%2A3\"
\n" ); document.write( "\"V+=+1080\"Cu.meters.
\n" ); document.write( "
\n" ); document.write( "
\n" );