document.write( "Question 1207601: An open box is to be constructed from a square piece of sheet metal by removing a square of side 1 foot from each corner and turning up the edges. If the box is to hold 5 cubic feet, what should be the dimension of the sheet metal? \r
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Algebra.Com's Answer #845571 by ikleyn(52786)\"\" \"About 
You can put this solution on YOUR website!
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\n" ); document.write( "An open box is to be constructed from a square piece of sheet metal by removing a square of side 1 foot
\n" ); document.write( "from each corner and turning up the edges. If the box is to hold 5 cubic feet, what should be the dimension
\n" ); document.write( "of the sheet metal?\r
\n" ); document.write( "\n" ); document.write( "Note: This is a popular problem found in many textbooks but I haven't found one decent explanation.
\n" ); document.write( "Can someone solve this application one step at a time?
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document.write( "When we turn up the edges, we will get an open box with a square base,\r\n" );
document.write( "and the height of the box will  be exactly one foot.\r\n" );
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document.write( "Since the box is to hold 5 cubic feet, it means that the base area is 5 square feet.\r\n" );
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document.write( "Hence, the size of the square bottom is  \"sqrt%285%29\" sq.feet (or about 2.236 ft) in each direction.\r\n" );
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document.write( "Now take into account 1 ft edges, turned up.\r\n" );
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document.write( "It means that the size of the original squared piece of metal is \"sqrt%285%29%2B2\" ft in each direction.\r\n" );
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document.write( "ANSWER.  The original piece of metal is a square with the side length of  \"sqrt%285%29%2B2\" ft in each direction.\r\n" );
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\n" ); document.write( "\n" ); document.write( "In order for my work didn't go to waste, please answer my questions:\r
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\n" ); document.write( "\n" ); document.write( "    (a)   Do you understand my explanations and logic ?\r
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\n" ); document.write( "\n" ); document.write( "    (b)   Is this solution and explanations useful to you ?\r
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\n" ); document.write( "\n" ); document.write( "    (c)   In your view,  is this a descent solution ?\r
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\n" ); document.write( "\n" ); document.write( "As a conclusion,  you may express your  \" THANKS \"  to me for my teaching.\r
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\n" ); document.write( "\n" ); document.write( "When you answer these questions, I will post to you the links to the lessons,
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\n" ); document.write( "\n" ); document.write( "When I read the post by @Theo,  I see several deficiencies.\r
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\n" ); document.write( "\n" ); document.write( "First, @Theo systematically writes sentences like this  \"side of the square piece of sheet metal be  (x+2)\",
\n" ); document.write( "but does not attach the dimension of feet to it.  Every time,  it makes an impression of incomplete sentence.\r
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\n" ); document.write( "\n" ); document.write( "Also,  in his post @Theo systematically refers to  1 inch,  while the dimension to refer
\n" ); document.write( "in this problem is  1 foot.  Every time,  it produces confusion in the head of a reader. \r
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\n" ); document.write( "\n" ); document.write( "Also,  the general style of writing suffers of permanent repeating of the same idea
\n" ); document.write( "and heavy tautology.  Read,  for example,  this typical example/statement \r
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\n" ); document.write( "\n" ); document.write( "        \"since the length of the square piece of sheet metal is equal to  x + 2, \r
\n" ); document.write( "\n" ); document.write( "        and the width of the square piece of sheet metal is also equal to  x + 2, \r
\n" ); document.write( "\n" ); document.write( "        then both the length and the width of the square piece of sheet metal are equal to  sqrt(5) + 2.\"\r
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\n" ); document.write( "\n" ); document.write( "Common sense, the rules of writing  (and  Math writing,  in particular),  as well as the sense of harmony
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