Which of the following are the cubes of odd numbers?

(i) 125 (ii) 343

(iii) 1728 (iv) 4096

(v) 9261

By the rule for odd numbers, the cubes of odd numbers are always odd.

So, first we have to look for which of the given numbers are odd.

125, 343 and 9261 are the odd numbers.

∴ 125 = 5×5×5 = 5³

∴ 343 = 7×7×7 = 7³

∴ 9261 = 3×3×3×7×7×7 = 3³ × 7³ = 21³

As we can see, odd numbers are the cubes of odd number.

Therefore, 125, 343 and 9261 are the cubes of odd numbers.