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Which of the following is a perfect square as well as a cube? 343, 125, 81, or 64
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- 81
- 125
- 343
- 64
Correct Option: D
343 = 7 × 7 × 7
125 = 5 × 5 × 5
81 = 3 × 3 × 3 × 3
64 = 8 × 8 = 4 × 4 × 4
We see that 343 and 125 are only perfect cubes of 7 and 5 respectively. 81 is only a perfect square of 9. 64 is a perfect square of 8 as well as a perfect cube of 4.
