document.write( "Question 730734: TASK: Investigation with square sheets: \n" );
document.write( "• From a square sheet of paper 20 cm by 20 cm, we can make a box without a lid. \n" );
document.write( "We do this by cutting a square from each corner and folding up the flaps.\r \n" );
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document.write( "• Will you get the same volume irrespective of the size of the squares that are cut out?\r \n" );
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document.write( "• Investigate what volumes are possible for different sizes of cut-out squares. \n" );
document.write( "• Suggest a relationship between Volume (V) and side of square (x). \n" );
document.write( "• Draw a graph Volume (V) and side of the square (x) with the suitable scales.\r \n" );
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document.write( "• What is the maximum possible volume and what size cut produces it? \r \n" );
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document.write( "• Try same with different sized(10 cm, 30 cm, 40 cm, 50 cm, 100 cm ) square sheets of paper. \n" );
document.write( "• Find a relationship (general rule) between the size of paper(y) and the size of cut(x) that produces the maximum volume? \n" );
document.write( "• Test the validity of your general rule by using different values of a, b, and \n" );
document.write( "• Justify your answer and its degree of accuracy. \n" );
document.write( "• Discuss the scope or limitations of the general statement. \n" );
document.write( "• Explain how you arrived at the general term \n" );
document.write( "• Are there any other methods to obtain general term of above sequence? \n" );
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