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Is 500 a perfect cube? $(500 = 2 \times 2 \times 5 \times 5 \times 5.)$

Class 8Perfect CubesCubes and Roots

AYes
BNo, because 2 does not appear three times
CYes, it equals $5^{3}$
DYes, it equals $1 0^{3}$

Step-by-Step Solution

500 =

2^{2} \times 5^{3}

. The prime 2 appears only twice, so it cannot be grouped into triples. Hence 500 is not a perfect cube.

Answer: B) No, because 2 does not appear three times

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