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15 votes
15 votes
The volume of a Rubik’s cube is 512/216 cubic inches. Find the length of a side of the cube.

User Gayathri L
by
2.6k points

1 Answer

5 votes
5 votes

Answer:

4/3 inches, or 1.33333 inches

Explanation:

In terms of the volume of a cube, its side length is the cube root of it. Therefore, for a cube with a volume of 512/216 cubic inches, its side length is equal to ∛(512/216) = ∛(512)/∛(216) = 8/6 = 4/3 inches*

* we know that 8/6 = 4/3 because we can multiply both the numerator and denominator by 1/2 to get this result. If we multiply/divide the numerator or denominator by the same values, the fraction is still the same

User Karthic G
by
3.0k points
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