Question

prove that if a number becomes half then it's cube becomes one eighth of the cube of the given numbers​

Answer 1

Answer:

For convenience, let the the original number be 2a

Therefore, $(2a)^{3}$ = 8$a^{3}$

if the number becomes half

= 2a/2 = a

so cube of the new number is $a^{3}$

clearly $a^{3}$ = 8$a^{3}$/8

so the cube of the resulting number is one eighth of the the cube of original number.

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