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Published byEustace Morrison Modified over 8 years ago
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Chess board maths! By CHRIS 2 = Chris de Jager & Chris van Zyl Tshwane University of Technology
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What is the volume of grains of rice which can be placed on the chess board? Place 1 grain of rice on square 1, 2 on square 2 4 on square 3 Keep on doubling it each time. Add it all together at the end (Good luck!) (Hint : 255 grains of rice = 5ml)
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1248166432128 256
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1=2 0 2=2 1 4=2 2 8=2 3 2424 2626 2 63 2525 2727 2828 2 62
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1 2323 4747 8 15 16 31 64 127 32 63 128 255 256 511 2 62 2 63 -1 2 63 2 64 -1
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Total for first row = 255 grains = 5 ml = 1 teaspoon
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500 ml grains of rice d h h = 60 mm d = 180 mm
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Total volume of grains of rice d h h = 5,37 km d = 16,1 km
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= Approximately the size of Mount Kilimanjaro!
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