document.write( "Question 1128539: The volume of a rectangular solid is given by the formula V = lwh, where l is the length, w is the width, and h is the height. The volume of the rectangular solid is 100 cubic centimeters. Find the width of the rectangular solid if its length is 10 centimeters and its height is 1 centimeter longer than twice its width. \n" ); document.write( "
Algebra.Com's Answer #745070 by greenestamps(13200)\"\" \"About 
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\n" ); document.write( "You need to find the width, so let that be the variable.

\n" ); document.write( "Let w = width

\n" ); document.write( "Then the height is 1 more than twice the width:

\n" ); document.write( "Then h = 2w+1

\n" ); document.write( "The volume is lwh; and you are given v=100 and l=10. So

\n" ); document.write( "\"100+=+10%28w%29%282w%2B1%29\"
\n" ); document.write( "\"w%282w%2B1%29+=+10\"

\n" ); document.write( "If you want to (or have to) use formal algebra, that gives you a quadratic equation that is relatively easy to solve.

\n" ); document.write( "But you should be able to see the solution without formal algebra. What two numbers multiplied together give a product of 10, with one of the numbers being 1 more than twice the other?
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