document.write( "Question 1117217: A box with no top is to be constructed from a piece of cardboard whose length measures 10 inches more than its width. The box is formed by cutting squares that measure 3 inch on each side from the four corners and then folding up the sides.
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Algebra.Com's Answer #732227 by ikleyn(52778) $\"\"$ $\"About$

You can put this solution on YOUR website!
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document.write( "The volume of the box is 225 cubic inches, while the height is 3 inches.\r\n" );
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document.write( "Hence, the base area is   = 75 square inches.\r\n" );
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document.write( "Now, the original length of the cardboard was 10 inches more than its width.\r\n" );
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document.write( "When you folded the sides up,  the difference in dimensions of the base of the box remained the same:  10 inches.\r\n" );
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document.write( "Thus your base has the area of 75 square inches, and the difference between its length and its width is 10 inches.\r\n" );
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document.write( "What are two positive numbers, whose product is 75 and whose difference is 10 ?\r\n" );
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document.write( "But of course,  15 and 5.\r\n" );
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document.write( "So, your base has the dimensions 15 by 5 inches.\r\n" );
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document.write( "The get the original dimensions of the cardboard, you need to add 2 times 3 inches to each dimension of the base:\r\n" );
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document.write( "    15 + 2*3 = 21  and  5 + 2*3 = 11.\r\n" );
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document.write( "Thus the the original dimensions of the cardboard are 21 and 11 inches.\r\n" );
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document.write( "It is your answer.\r\n" );
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