document.write( "Question 1170171: A pyramid whose altitude is 1.20 meters weighs 2.70 kN. At what distance from its vertex must it be cut by a plane parallel to its base so that the two solids of equal weight will be formed. \n" ); document.write( "

Algebra.Com's Answer #795026 by ikleyn(52787) $\"\"$ $\"About$

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document.write( "We want to cut a small pyramid which weights half of the original pyramid's weight.\r\n" );
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document.write( "For it, the volume of the small pyramid must be half of the volume of the original pyramid.\r\n" );
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document.write( "The small pyramid and the original pyramid are geometrically similar with the similarity coefficient c = ,\r\n" );
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document.write( "where h and H are altitudes of the small and the original pyramids, respectively.\r\n" );
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document.write( "So we want   =  =  = 0.5.\r\n" );
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document.write( "It implies  h =  =  = 0.952441 meter.\r\n" );
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document.write( "ANSWER.  The cutting distance from the vertex should be  0.952441 of a meter.\r\n" );
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