document.write( "Question 54113: Find the total surface area of a square-based pyramid with isosceles triangular faces. \n" ); document.write( "
Algebra.Com's Answer #36384 by venugopalramana(3286)\"\" \"About 
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Find the total surface area of a square-based pyramid with isosceles triangular faces.
\n" ); document.write( "LET THE SQUARE SIDE = B.....
\n" ); document.write( "LATERAL SURFACE AREA =L.S.A.
\n" ); document.write( "CASE 1 ...........SLANT SIDE IS GIVEN
\n" ); document.write( "LET THE SLANT SIDES OF TRIAGULAR FACES = D
\n" ); document.write( "LATERAL SURFACE AREA = 4 * TRIANGLE AREA =4*0.5*BASE*SLANT HT.
\n" ); document.write( "SLANT HT = SQRT(D^2-B^2/4)
\n" ); document.write( "HENCE L.S.A.= 2*B*SQRT(D^2-B^2/4)
\n" ); document.write( "CASE 2....SLANT HEIGHT IS GIVEN = H
\n" ); document.write( "L.S.A=2BH
\n" ); document.write( "CASE 3.....VERTICAL HEIGHT IS GIVEN...= V SAY
\n" ); document.write( "THEN SLANT HEIGHT = SQRT(V^2+B^2/4)
\n" ); document.write( "L.S.A. = 2*B*SQRT(V^2+B^2/4)\r
\n" ); document.write( "\n" ); document.write( "BASE AREA
\n" ); document.write( "BASE AREA = B^3\r
\n" ); document.write( "\n" ); document.write( "TOTAL SURFACE AREA
\n" ); document.write( "T.S.A. = L.S.A.+B.S.A....FOUND ABOVE
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