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A Cube.

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Q: For any given number of cubes what arrangement uses the smallest surface area?
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What arrangement of cubes will give a rectangular prism with the least surface area?

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What is Ramanujans taxi number?

1729, the smallest number that can be expressed as a sum of a pair of cubes in two different ways.


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1729 is the smallest number that can be expressed in two ways as the sum of two cubes.[12cube+9cube] * * * * * ... two positive cubes. 12 cube + 1 cube and 10 cube + 9 cube.


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Why 1729 is a Ramanujan number?

As the speciality of this number i.e., smallest number that can be shown as sum of two positive cubes in two ways was found by Ramanujam in the presence of Hardy.so it is also called hardy-ramanujan number.


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