document.write( "Question 1027685: The surface areas of 2 cubes are in the ratio of 64:25. If the length of one edge of the larger cube is 24 cm, what is the surface area of the smaller cube? \n" ); document.write( "
Algebra.Com's Answer #642920 by josmiceli(19441)\"\" \"About 
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Let \"+s+\" = the length of a side of
\n" ); document.write( "the smaller cube
\n" ); document.write( "\"+6s%5E2++\" = the surface area of the smaller cube
\n" ); document.write( "----------------
\n" ); document.write( "\"+25+%2F+64+=+%28+6s%5E2+%29+%2F+%28+6%2A24%5E2+%29+\"
\n" ); document.write( "\"+25+%2F+64+=++s%5E2+%2F+24%5E2+\"
\n" ); document.write( "\"+25%2F64+=+%28+s%2F24+%29%5E2+\"
\n" ); document.write( "Take the square root of both sides
\n" ); document.write( "\"+5%2F8+=+s%2F24+\"
\n" ); document.write( "Multiply both sides by \"+24+\"
\n" ); document.write( "\"+15+=+s+\"
\n" ); document.write( "This is the side of the smaller cube
\n" ); document.write( "-------------
\n" ); document.write( "\"+6s%5E2+=+6%2A15%5E2+\"
\n" ); document.write( "\"+6s%5E2+=+6%2A225+\"
\n" ); document.write( "\"+6s%5E2+=+1350+\"
\n" ); document.write( "The surface area of the smaller cube is 1,350 cm2
\n" ); document.write( "---------------
\n" ); document.write( "check:
\n" ); document.write( "\"+25%2F64+=+1350+%2F+%28+6%2A24%5E2+%29+\"
\n" ); document.write( "\"+25%2F64+=+1350+%2F+3456+\"
\n" ); document.write( "\"+.390625+=+.390625+\"
\n" ); document.write( "OK
\n" ); document.write( "
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