write cubes of five natural numbers which are multiples of 3 and verify the following : ' The cube of a natural number which is a multiple of 3 is a multiple of 27 '
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Answer:
6³ = 216 which is 27 * 8.
12³ = 1728 which is 27 * 64.
15³ = 3375 which is 27 * 125.
24³ = 13824 which is 27 * 512.
27³ = 19683 which is 27 * 729.
Step-by-step explanation:
Proof : Let the number be 3a.
(3a)³ = 27a³
27a³ = 27a² * a.
So (3a)³ is a multiple of 27.
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