document.write( "Question 766511: An electric wire 0.25cm in diameter and is 33 m in length is melted and form a block of copper whose dimensions are in the ratio 1:2:3. What are the dimensions of the block? \n" ); document.write( "

Algebra.Com's Answer #466968 by ramkikk66(644) $\"\"$ $\"About$

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document.write( "Volume of the wire = base area * length\r\n" );
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document.write( "Base radius = 0.25/2 = 0.125 cm\r\n" );
document.write( "Length = 33 m = 3300 cm\r\n" );
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document.write( "volume =  = 162}}} (rounding off to nearest whole number)\r\n" );
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document.write( "For the copper block, let the length be x. Then the width = 2x and height = 3x\r\n" );
document.write( "(since the ratio of the dimensions is 1:2:3)\r\n" );
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document.write( "Volume of the block = x*2x*3x = 6*x^3 = 162\r\n" );
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document.write( "x = 3 cm\r\n" );
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document.write( "So the dimensions of the block are 3 cm, 6 cm and 9 cm.\r\n" );
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document.write( "Hope you got it :)\r\n" );
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