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By prime factorisation, $216 = 2 \times 2 \times 2 \times 3 \times 3 \times 3$ . Is 216 a perfect cube?

Class 8Perfect CubesCubes and Roots

AYes, it is $6^{3}$
BNo
CYes, it is $8^{3}$
DYes, it is $4^{3}$

Step-by-Step Solution

216 = (2 x 3)^{3} = 6^{3}

, since the primes group into triples. So 216 is a perfect cube equal to

6^{3}

.

Answer: A) Yes, it is

6^{3}

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