document.write( "Question 1043154: Use your knowledge of polynomials to help the company design the box for one of its products.\r
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document.write( "I selected the football: It is twice as long as it is wide, so its box will have a rectangular base. SportsBounceCo makes volleyballs with three different diameters: 8 inches, 10 inches, and 12 inches. You will use what you know about polynomials to find out how much material you will need to make the boxes.\r
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document.write( "2. Here is some more information about making the boxes: \r
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document.write( "• SportsBounceCo uses flat sheets of cardboard to make boxes.
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document.write( "• The company uses square sheets for volleyball boxes and rectangular sheets for football boxes.
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document.write( "• The boxes have no top, so that customers can see and touch the product.
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document.write( "• The height of the box is always 1 inch greater than the width of the ball.
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document.write( "• To assemble the box, corners are cut out of each sheet and the edges are taped together. \r
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document.write( "Use x for the width and x + 1 for the height.\r
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document.write( "3. Now use your drawing to write an equation for the area of the entire sheet of cardboard. First write the equation as the product of two binomials, and then as a simplified trinomial. \r
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document.write( "4. Next write an equation for the surface area of the box (after the sheet has been folded).\r
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document.write( "5. Fill in the table below to calculate the amount of material wasted in producing each size of box. Show your work. \r
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document.write( "Ball diameter| Area of full sheet of cardboard| Surface area of box| Area removed from corners
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document.write( "8 in\r
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document.write( "9 in\r
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document.write( "10 in\r
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document.write( "Ball diameter| Area of full sheet of cardboard| Surface area of box| Area removed from corners
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document.write( "4 in\r
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document.write( "5 in\r
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document.write( "6 in\r
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document.write( "6. SportsBounceCo makes only boxes that have sides that are measured in whole inches, like the boxes you have been describing so far. Is it possible for them to produce a box that has a surface area that is not a whole number? How do you know? \r
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Algebra.Com's Answer #658660 by ikleyn(52790)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( "Now, when this text is almost gone from the scope, I will say you, \n" ); document.write( "that it is not right way to post so long text as a problem (or a set of problems) to this site.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Send only one problem per post.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "From the other point of view, the text is good only as reading before the sleep, not as the formulation of a problem to solve.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Learn these lessons.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |