document.write( "Question 1156438: A box is to be made out of a square piece of cardboard by cutting out 2 inch squares at each corner and folding up the sides. If the box has a volume of 162 inches cubed, how big was the piece of cardboard? \n" ); document.write( "

Algebra.Com's Answer #779131 by ikleyn(52847) $\"\"$ $\"About$

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document.write( "Let x be the original side measure of the square piece of cardboard.\r\n" );
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document.write( "After cutting 2 inch squares in each angle and folding sides up, the square base has the dimensions (x-2) inches.\r\n" );
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document.write( "So, the volume of the box is then  V = 2*(x-4)*(x-4).\r\n" );
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document.write( "So, you have this equation\r\n" );
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document.write( "     = 162.\r\n" );
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document.write( "From the equation,\r\n" );
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document.write( "     = 162/2 = 81,   x-4 =  = 9,  x = 9 + 4 = 13.\r\n" );
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document.write( "ANSWER.  The original piece was 13 inches square cardboard.\r\n" );
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\n" ); document.write( "\n" ); document.write( "If you want to see many other similar solved problems, look into the lesson\r
\n" ); document.write( "\n" ); document.write( " - Making a box from a piece of cardboard \r
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\n" ); document.write( "\n" ); document.write( "Also, you have this free of charge online textbook in ALGEBRA-I in this site\r
\n" ); document.write( "\n" ); document.write( " - ALGEBRA-I - YOUR ONLINE TEXTBOOK.\r
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\n" ); document.write( "\n" ); document.write( "The referred lesson is the part of this online textbook under the topic
\n" ); document.write( "\"Dimensions and the area of rectangles and circles and their elements\".\r
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\n" ); document.write( "\n" ); document.write( "Save the link to this online textbook together with its description\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Free of charge online textbook in ALGEBRA-I
\n" ); document.write( "https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson\r
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\n" ); document.write( "\n" ); document.write( "to your archive and use it when it is needed.\r
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