Can you do the maths puzzle for Vietnamese eight-year-olds that has stumped parents and teachers?5/20/2015
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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. What is the maximum possible volume and what size cut produces it? Try different sized square sheets of paper. Can you find a relationship between the size of paper and the size of cut that produces the maximum volume? Today, we looked at these shapes and you had a go at calculating their area and perimeter. Now can you have a go at answering these tricky questions:
Can you draw a shape in which the area is numerically equal to its perimeter? And another? Can you draw a shape in which the perimeter is numerically twice the area? Can you draw a shape in which the area is numerically twice the perimeter? Can you make the area of your shape go up but the perimeter go down? Can you make the perimeter of your shape go up but the area go down? Can you draw some shapes that have the same area but different perimeters? Can you draw some shapes that have the same perimeter but different areas? |
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May 2015
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