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Volume equals 512 then the cube root of this is 8

Solve by using Pythagoras' therom:

82+82 = 128 and the square root of this is 11.3137085 cm (the exterior diagonal)

82+11.31370852 = 192 and the square root of this is 13.85640646 cm (the interior diagonal)

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Q: What are the lengths of the exterior and interior diagonals of a cube that has a volume of 512 cubic cm?
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