Question

which of the following numbers one not perfect cube.a)216 b)1000 c) 512 d) 100​

Answer 1

Answer:

Grouping the prime factors of 192 into triples, 3 is left over. ∴ 192 is not a perfect cube. i.e. 64 is a perfect cube. Thus, the required smallest number is 3.

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Answer 2

Step-by-step explanation:

(i) 216=2×2×2×3×3×3

= 2³ ×3³

=6³

So, 216 is a perfect cube.

(ii) 1000=2×2×2×5×5×5=10³

So, 1000 is a perfect cube.

3)512=2×2×2×2×2×2×2×2×2= 2³×2³×2³

=512 is a perfect cube

(iv) 100=2×2×5×5=10²

So, 100 is not a perfect cube