document.write( "Question 658547: PLEASE HELP!
\n" ); document.write( "and explain how you got the answer\r
\n" ); document.write( "\n" ); document.write( "A rectangular box has a surface area of 1020 square inches, a length of 6 inches, and a width of 9 inches. Find the height.\r
\n" ); document.write( "\n" ); document.write( "THE ANSWER IS NOT 30.4 INCHES.\r
\n" ); document.write( "\n" ); document.write( "Thank you!!!!!!!!!!!!!!!!
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Algebra.Com's Answer #410337 by kevwill(135)\"\" \"About 
You can put this solution on YOUR website!
Assuming the rectangular box is closed and has 6 sides, the surface area would be:
\n" ); document.write( "a = 2*l*w + 2*w*h + 2*h*l, so
\n" ); document.write( "\"1020+=+2%2A6%2A9+%2B+2%2A9%2Ah+%2B+2%2Ah%2A6\"
\n" ); document.write( "\"1020+=+108+%2B+18%2Ah+%2B+12%2Ah\"
\n" ); document.write( "\"18%2Ah+%2B+12%2Ah+=+1020+-+108\"
\n" ); document.write( "\"30%2Ah+=+912\"
\n" ); document.write( "\"h+=+912%2F30+=+30%2612%2F30+=+30%264%2F10+=+30.4\" inches\r
\n" ); document.write( "\n" ); document.write( "However, this isn't the correct answer. So our initial assumption that the box is closed must be wrong. If the box is open at the top and has only a bottom and 4 sides, the surface area is
\n" ); document.write( "a = l*w + 2*w*h + 2*h*l, so
\n" ); document.write( "\"1020+=+6%2A9+%2B+2%2A9%2Ah+%2B+2%2Ah%2A6\"
\n" ); document.write( "\"1020+=+54+%2B+18%2Ah+%2B+12%2Ah\"
\n" ); document.write( "\"18%2Ah+%2B+12%2Ah+=+1020+-+54\"
\n" ); document.write( "\"30%2Ah+=+966\"
\n" ); document.write( "\"h+=+966%2F30+=+32%266%2F30+=+32%261%2F5+=+32.2\" inches
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