document.write( "Question 1128598: Jordan is tracking a recent online purchase. The shipping costs state that the item will be shipped in a 24-inch long box with a volume of 2,880 cubic inches. The width of the box is seven inches less than the height. \n" ); document.write( "
Algebra.Com's Answer #745090 by ankor@dixie-net.com(22740)\"\" \"About 
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Jordan is tracking a recent online purchase. The shipping costs state that the item will be shipped in a 24-inch long box with a volume of 2,880 cubic inches. The width of the box is seven inches less than the height.
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\n" ); document.write( "Assume you want the dimensions of the box.
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\n" ); document.write( "let h = the height of the box
\n" ); document.write( "then
\n" ); document.write( "(h-7) = the width of the box
\n" ); document.write( "Given the length = 24
\n" ); document.write( "The volume equation L*w*h
\n" ); document.write( "24*(h-7)*h = 2880
\n" ); document.write( "24(h^2 - 7h) = 2880
\n" ); document.write( "divide both sides by 24
\n" ); document.write( "h^2 - 7h = 120
\n" ); document.write( "A quadratic equation
\n" ); document.write( "h^2 - 7h - 120 = 0
\n" ); document.write( "Factors to
\n" ); document.write( "(h-15)(h+8) = 0
\n" ); document.write( "the positive solution is all we want here
\n" ); document.write( "h = 15 inches is the height
\n" ); document.write( "and obviously,
\n" ); document.write( "17-7 = 8 in is the width
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\n" ); document.write( "Check: 24 * 8 * 15 = 2880 \n" ); document.write( "
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