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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 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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