document.write( "Question 1203310: if the volume of a hexagonal pyramid is 750 units 3 and the base and the height being 5 units and 10 units respectively, what is the length of apothem of the pyramid? \n" ); document.write( "

Algebra.Com's Answer #838769 by ikleyn(52786) $\"\"$ $\"About$

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\n" ); document.write( "if the volume of a hexagonal pyramid is 750 units 3 and the base and the height being
\n" ); document.write( "5 units and 10 units respectively, what is the length of apothem of the pyramid?
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\n" ); document.write( "\n" ); document.write( "        As the problem is worded, printed, posted and presented in this parcel, \r
\n" ); document.write( "\n" ); document.write( "        it is SELF-CONTRADICTORY and can not be solved.\r
\n" ); document.write( "\n" ); document.write( "        Below I explain it in a comprehensive way, with all details.\r
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document.write( "The term \"apothem\" is used in Geometry in combination with the conception of a regular polygon, ONLY.\r\n" );
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document.write( "So, I am forced to assume that the base is a regular hexagon - I have NO other choice.\r\n" );
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document.write( "Then it is clear that three longest diagonals divide the base of the hexagonal regular pyramid \r\n" );
document.write( "in 6 congruent equilateral triangles with the side length of a=5 units each.\r\n" );
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document.write( "Hence, the area of each such a triangle is  \r\n" );
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document.write( "    area of a triangle =  =  square units.\r\n" );
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document.write( "The area of the hexagonal base is 6 times this value\r\n" );
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document.write( "    area of the base =  =  = 64.95191 square units.\r\n" );
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document.write( "The volume of the pyramid is then\r\n" );
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document.write( "    V =  = 216.530176 cubic units,\r\n" );
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document.write( "which is    from the given value of 750 cubic units.\r\n" );
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\n" ); document.write( "\n" ); document.write( "Thus the given data as the input is INCONSISTENT.
\n" ); document.write( "The problem CAN NOT be solved in this formulation.\r
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\n" ); document.write( "\n" ); document.write( "Also, if the length of a base side is given, then the apothem
\n" ); document.write( "can be found in one single and simple line.\r
\n" ); document.write( "\n" ); document.write( "Neither volume of a pyramid, nor its height are needed for such calculations.\r
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\n" ); document.write( "\n" ); document.write( "By creating this nonsense, the problem's composer deserves to be ticketed.\r
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