document.write( "Question 1198369: V-QRST is a rectangular pyramid with edge VS, base QRST. QR = 3/8 m, RS = 5/8 m, and VS = 2/3 m. How many square centimeters are there on its lateral surface? Round off the answer to the nearest integer. \n" ); document.write( "
Algebra.Com's Answer #831961 by MathLover1(20850)\"\" \"About 
You can put this solution on YOUR website!

\n" ); document.write( "\"a=RS+=+%285%2F8%29m=62.5cm+\"
\n" ); document.write( "\"b=QR+=+%283%2F8%29m=+37.5cm+\"
\n" ); document.write( " \"VS+=+%282%2F3%29m=66.67cm+\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "to find the height of pyramid, first find the diagonal of the base\r
\n" ); document.write( "\n" ); document.write( "\"d%5E2=a%5E2%2Bb%5E2\"
\n" ); document.write( "\"d%5E2=+%2862.5cm%29%5E2%2B%2837.5cm%29%5E2\"
\n" ); document.write( "\"d%5E2=+5310cm%5E2\"
\n" ); document.write( "\"d+=+sqrt%285310cm%5E2%29\"
\n" ); document.write( "\"d+=+72.87cm\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "then\r
\n" ); document.write( "\n" ); document.write( "\"d%2F2+=%2872.87cm%29%2F2\"\r
\n" ); document.write( "\n" ); document.write( "\"d%2F2+=36.435cm\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "and, height is\r
\n" ); document.write( "\n" ); document.write( "\"h%5E2=%2866.67cm%29%5E2-%2836.435cm%29%5E2+\" \r
\n" ); document.write( "\n" ); document.write( "\"h%5E2=3117cm%5E2\"\r
\n" ); document.write( "\n" ); document.write( "\"h=sqrt%283117cm%5E2%29\"\r
\n" ); document.write( "\n" ); document.write( "\"h=55.8cm\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "The formula for calculating the surface area of the pyramid is:\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"SA=ab%2Ba%2Asqrt%28+%28b%2F2%29%5E2+%2Bh%5E2%29%2Bb%2Asqrt%28%28a%2F2%29%5E2+%2Bh%5E2%29\"
\n" ); document.write( "
\n" ); document.write( "\r
\n" ); document.write( "\n" ); document.write( "\"SA=2344cm%5E2+%2B3679cm%5E2+%2B2398cm%5E2\"\r
\n" ); document.write( "\n" ); document.write( "\"SA=8421cm%5E2+\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "answer: total surface area is \"8421cm%5E2\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );