document.write( "Question 1180777: A square pyramid has a slant height of 25 m and a lateral area of 350^2 m. Which is the closest to the volume? \n" ); document.write( "
Algebra.Com's Answer #810560 by MathLover1(20850)\"\" \"About 
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\n" ); document.write( "\n" ); document.write( "A square pyramid has a slant height of 25 m and a lateral area of 350^2 m. Which is the closest to the volume?\r
\n" ); document.write( "\n" ); document.write( "given:
\n" ); document.write( "\"SA=350m%5E2\"
\n" ); document.write( "a slant height \"s=25m\"\r
\n" ); document.write( "\n" ); document.write( "The \"350m%5E2\" of lateral surface area is four congruent triangles, each with height \"25m\". If the side length of the square base is \"a\", then\r
\n" ); document.write( "\n" ); document.write( "\"4%28a%2F2%29%2As=350\"
\n" ); document.write( "\"2a%2A25=350\"
\n" ); document.write( "\"a%2A50=350\"
\n" ); document.write( "\"a=350%2F50\"
\n" ); document.write( "\"a=7m\"\r
\n" ); document.write( "\n" ); document.write( "The side length of the square base is \"7m\".\r
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\n" ); document.write( "\n" ); document.write( "The volume of a square pyramid is:\r
\n" ); document.write( "\n" ); document.write( "\"V+=+%281%2F3%29a%5E2%2Ah\"\r
\n" ); document.write( "\n" ); document.write( "\"h=sqrt%2825%5E2-%287%2F2%29%5E2%29\"\r
\n" ); document.write( "\n" ); document.write( "\"h=sqrt%282451%2F4%29\"\r
\n" ); document.write( "\n" ); document.write( "\"h=24.75\"\r
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\n" ); document.write( "\n" ); document.write( "\"V+=+%281%2F3%29%287m%29%5E2%2A24.75m\"\r
\n" ); document.write( "\n" ); document.write( "\"V+=+404.25m%5E3\"\r
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