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Use Pythagoras' theorem to find the length of the outer diagonal and then use this as the base for the inner diagonal (the longest length of the cube)

82+82 = 128 and the square root of this is 11.3137085 cm

11.31370852+82 = 192 and the square root of this is 13.85640646 cm

The longest pencil is 13.85640646 or just under 14 cm

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Q: A box is made in the shape of cube its dimension are of length 8cm what is the lenght oof longest pencil that would fit inside the box?
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