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Which of the following are cubes of odd natural numbers?125, 343, 1728, 4096, 32768, 6859 |
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Answer» (i) 125 = 5 × 5 × 5 × 5 = 53 It’s a cube of odd natural number. (ii) 343 = 7 × 7 × 7 = 73 It’s a cube of odd natural number. (iii) 1728 = 26 × 33 = 43 × 33 = 123 It’s not a cube of odd natural number. As 12 is even number. (iv) 4096 = 212 = (26)2 = 642 Its not a cube of odd natural number. As 64 is an even number. (v) 32768 = 215 = (25)3 = 323 It’s not a cube of odd natural number. As 32 is an even number. (vi) 6859 = 19 × 19 × 19 = 193 It’s a cube of odd natural number. |
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