document.write( "Question 1198262: The volume of a square pyramid whose slant height and base edge are each 10.ft long may be expressed as V = γ√ρ/ρ ft.^2 where ρ is a prime number. Find γ - ρ. \n" ); document.write( "
Algebra.Com's Answer #831831 by ikleyn(52803)\"\" \"About 
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\n" ); document.write( "The volume of a square pyramid whose slant height and base edge are each 10 ft long
\n" ); document.write( "may be expressed as V = γ√ρ/ρ ft.^2 where ρ is a prime number. Find γ - ρ.
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document.write( "The base area is 10*10 = 100 ft^2.\r\n" );
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document.write( "The height of the pyramid is  \"sqrt%2810%5E2-%2810%2F2%29%5E2%29\" = \"sqrt%28100-25%29\" = \"sqrt%2875%29\" = \"5%2Asqrt%283%29\".\r\n" );
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document.write( "The volume of the pyramid is  \"%281%2F3%29%2A5%2Asqrt%283%29\" = \"5%2A%28sqrt%283%29%2F3%29\" ft^3.\r\n" );
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document.write( "So we have γ = 5, ρ = 3.  Therefore,  γ - ρ = 5 - 3 = 2.    ANSWER\r\n" );
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