document.write( "Question 1098758: Two similar buckets have heights of 12cm and 18cm respectively. If the volume of the larger bucket is 168ľcmł, find the volume of the smaller bucket. \n" ); document.write( "

Algebra.Com's Answer #713146 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"+A%5B1%5D+\"$ = the area of the
\n" ); document.write( "base of the 12 cm tall bucket in cm3
\n" ); document.write( "Let $\"+A%5B2%5D+\"$ = the area of the
\n" ); document.write( "base of the 18 cm tall bucket in cm3
\n" ); document.write( "---------------------------------
\n" ); document.write( " $\"+12%2FA%5B1%5D+=+18%2F+A%5B2%5D+\"$
\n" ); document.write( " $\"+A%5B2%5D%2A18+=+168.75+\"$
\n" ); document.write( " $\"+A%5B2%5D+=+9.375+\"$ cm2
\n" ); document.write( " $\"+12%2FA%5B1%5D+=+18%2F9.375+\"$
\n" ); document.write( " $\"+12%2FA%5B1%5D+=+1.92+\"$
\n" ); document.write( " $\"+1.92A%5B1%5D+=+12+\"$
\n" ); document.write( " $\"+A%5B1%5D+=+6.25+\"$ cm2
\n" ); document.write( "--------------------------
\n" ); document.write( " $\"+V%5D1%5D+=+A%5B1%5D%2A12+\"$
\n" ); document.write( " $\"+V%5B1%5D+=+6.25%2A12+\"$
\n" ); document.write( " $\"+V%5B1%5D+=+75+\"$ cm3
\n" ); document.write( "-------------------------
\n" ); document.write( "The volume of the smaller bucket is 75 cm3
\n" ); document.write( "-------------------------
\n" ); document.write( "check:
\n" ); document.write( " $\"+12%2FA%5B1%5D+=+18%2FA%5B2%5D+\"$
\n" ); document.write( " $\"+12%2F6.25+=+18%2F9.375+\"$
\n" ); document.write( " $\"+12%2A9.375+=+18%2A6.25+\"$
\n" ); document.write( " $\"+112.5+=+112.5+\"$
\n" ); document.write( "OK\r
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