document.write( "Question 117424: Here is the question: A metal cube of volume 1000cm^3 is melted down and cast into a cuboid 50cm long and 10cm broad. What is the percentage increase in the surface areas of the solids? \n" ); document.write( "

Algebra.Com's Answer #85424 by josmiceli(19441) $\"\"$ $\"About$

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$\"V+=+1000\"$ cm2
\n" ); document.write( " $\"V+=+s%5E3\"$ where $\"s\"$ is the length of all the sides
\n" ); document.write( " $\"V+=+10%2A10%2A10\"$ cm2
\n" ); document.write( " $\"s+=+10\"$ cm
\n" ); document.write( "The surface area is
\n" ); document.write( " $\"A%5B1%5D+=+6%2A10%2A10\"$ cm2
\n" ); document.write( " $\"A%5B1%5D+=+600\"$ cm2
\n" ); document.write( "----------------------
\n" ); document.write( " $\"50%2A10%2As+=+1000\"$ Even though the dimensions change, V can't change
\n" ); document.write( " $\"s+=+1000%2F500\"$
\n" ); document.write( " $\"s+=+2\"$
\n" ); document.write( " $\"50%2A10%2A2+=+1000\"$
\n" ); document.write( "Two of the faces are $\"50%2A10\"$ cm2
\n" ); document.write( "Two of the faces are $\"50%2A2\"$ cm2
\n" ); document.write( "Two of the faces are $\"2%2A10\"$ cm2
\n" ); document.write( " $\"A%5B2%5D+=+2%2A50%2A10+%2B+2%2A50%2A2+%2B+2%2A2%2A10\"$
\n" ); document.write( " $\"A%5B2%5D+=+1000+%2B+200+%2B+40\"$
\n" ); document.write( " $\"A%5B2%5D+=+1240\"$
\n" ); document.write( "The increase in area is $\"A%5B2%5D+-+A%5B1%5D+=+1240+-+1000\"$ cm2
\n" ); document.write( " $\"1240+-+1000+=+240\"$ cm2
\n" ); document.write( "The percentage increase is $\"240%2F1000\"$ = 24% answer
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