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)![]() ![]() You can put this solution on YOUR website! 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 \n" ); document.write( " |