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Solids with a Pair or More of Identical Faces

A 3 × 3 × 3 r...

Question

A 3×3×3 rubik's cube has a volume of 27 $c m^{3}$ . Find the volume of each indvidual small cube.

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Solution

Let the side length of each of the smaller cubes of the rubik’s cube be ‘a’

Side length of rubik’s cube = ‘3a’

Volume of rubik’s cube = $(3 a)^{3}$ =27

So a=1.

The volume of smaller cube = 1 $c m^{3}$

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