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