document.write( "Question 1193447: Find the volume of a square pyramid if each base edge and each lateral edge equals 36 cm. \n" ); document.write( "

Algebra.Com's Answer #825472 by ikleyn(52781) $\"\"$ $\"About$

You can put this solution on YOUR website!
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\n" ); document.write( "Find the volume of a square pyramid if each base edge and each lateral edge equals 36 cm.
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\n" ); document.write( "\n" ); document.write( " The solution by @MathLover1 is INCORRECT.\r
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\n" ); document.write( "\n" ); document.write( " I came to bring a correct solution.\r
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document.write( "The volime of the pyramid is  one third the product of the base area by the height\r\n" );
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document.write( "    V = .\r\n" );
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document.write( "To find the height, draw the altitude of the pyramide from its peak vertex to the center of the base square.\r\n" );
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document.write( "You have right-angled triangle, formed by the altitude, the edge of the pyramid and half of the diagonal.\r\n" );
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document.write( "From Pythagoras, the height of the pyramid is   = .\r\n" );
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document.write( "Therefore, the volume of the pyramid is\r\n" );
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document.write( "    V =  =  = 10996.92 cm^3  (rounded).    ANSWER\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved.\r
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\n" ); document.write( "\n" ); document.write( "She edited her post after seeing my solution.\r
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