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Which of the following are cubes of even natural numbers?216, 512, 729, 1000, 3375, 13824 |
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Answer» (i) 216 = 23 × 33 = 63 It’s a cube of even natural number. (ii) 512 = 29 = (23)3 = 83 It’s a cube of even natural number. (iii) 729 = 33 × 33 = 93 It’s not a cube of even natural number. (iv) 1000 = 103 It’s a cube of even natural number. (v) 3375 = 33 × 53 = 153 It’s not a cube of even natural number. (vi) 13824 = 29 × 33 = (23)3 × 33 = 83 × 33 = 243 It’s a cube of even natural number. |
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