document.write( "Question 34021: My problem is:\r
\n" ); document.write( "\n" ); document.write( "The base of a right pyramid is a regular hexagon with sides of length 12 m. The altitude of the pyramid is 9 m. Find the total surface area of the pyramid. \r
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Algebra.Com's Answer #21734 by venugopalramana(3286)\"\" \"About 
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The base of a right pyramid is a regular hexagon with sides of length 12 m. The altitude of the pyramid is 9 m. Find the total surface area of the pyramid.
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\n" ); document.write( "TOTAL SURFACE AREA=AREA OF HEXAGONAL BASE +6*AREA OF LATERAL TRIANGULAR FACE
\n" ); document.write( "AREA OF HEXAGON=6*A^2*SQRT(3)/4=6*12^2*SQRT(3)/4=374.132
\n" ); document.write( "LATERAL TRIANGULAR FACE HAS ALTITUDE OF 9 M. AND DISTANCE OF CENTRE FROM VERTEX OF BASE =12 M
\n" ); document.write( "HENCE LATERAL EDGE = SQRT (12^2+9^2)=SQRT(144+81)=15
\n" ); document.write( "AREA OF LATERAL TRIANGLE WITH SIDES 12,15 AND 15 IS GIVEN BY FORMULA SQRT{S(S-A)(S-B)(S-C)} WHERE S =(12+15+15)/2=21
\n" ); document.write( "AREA=SQRT{21(21-12)(21-15)(21-15)}=SQRT(21*9*6*6)=18SQRT(21)=
\n" ); document.write( "T.S.A.OF PYRAMID = 374.132+6*82.4864=869.0504
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