Maharashtra BoardEnglish MediumSTD 8MathsCubes and Cube Roots2 Marks
Question
Which of the following are perfect cube?
216
✓
Answer
On factorising 216 into prime factors, we get
216 = 2 × 2 × 2 × 3 × 3 × 3
Group the factors in triples of equal factors as:
216 = {2 × 2 × 2} × {3 × 3 × 3}
It is evident that the prime factors of 216 can be grouped into triples of equal factors and no factor is left over.
Therefore, 216 is a perfect cube.
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