document.write( "Question 200524: the stiffness 'S' of a rectangular beam varies jointly as the width and the cube of the depth. if the stiffness is 90 when the width is 2 and the depth is 3, find the stiffness for a beam with a width of 5 and a depth of 2 \n" ); document.write( "
Algebra.Com's Answer #150753 by vleith(2983)\"\" \"About 
You can put this solution on YOUR website!
Given \"S+=+Kwd%5E3\"; where K is some constant. First thing we need to do is get enough info to solve for K. Lucky for you, the problem provides that.
\n" ); document.write( "\"90+=+K%2A2%2A3%5E3\"
\n" ); document.write( "\"90+=+K+%2A+54\"
\n" ); document.write( "\"90%2F54+=+K\" So we know K now
\n" ); document.write( "\"S+=%2890wd%5E3%29%2F54\" Put K in the original equation\r
\n" ); document.write( "\n" ); document.write( "Now solve when w=5 and d=2
\n" ); document.write( "\"S+=%2890wd%5E3%29%2F54\"
\n" ); document.write( "\"S+=%2890%2A5%2A2%5E3%29%2F54\"
\n" ); document.write( "\"S+=+%2890%2A5%2A8%29%2F54\"
\n" ); document.write( "\"S+=+66.667\"
\n" ); document.write( "
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