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11-07-2018
Mathematics

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What is the length of the diagonal of a cube of 4 inches

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altavistard altavistard

12-07-2018

First find the length of the diagonal of a square of side 4 inches:

d^2 = 4^2 + 4^2 = 2*4^2 = 32. Then the diagonal of the cube has length

sqrt( 32 + 4^2) = sqrt(32+16) = sqrt(48) = 4sqrt(3).

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