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(B) To find the smallest five-digit perfect cube,we test cubes of integers starting from $20$ since $20^3 = 8000$ (a four-digit number).Next,we calcul

Vedclass · Accepted Answer

$10648$

Vedclass · Answer

(B) To find the smallest five-digit perfect cube,we test cubes of integers starting from $20$ since $20^3 = 8000$ (a four-digit number).Next,we calculate $21^3 = 9261$ (a four-digit number).Then,we calculate $22^3 = 22 	imes 22 	imes 22 = 484 	imes 22 = 10648$.Since $10648$ is the first five-digit number obtained in the sequence of perfect cubes,it is the smallest five-digit perfect cube.

The smallest five-digit number which is a perfect cube is

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