If you start with 401, then the answer to 401^3 is sure to be bigger than 400.
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as i calculate it its 346, its the only cube number that's bigger than 200 but smaller than 400
7.93 is one possible answer.
try maths.com but otherwise its 36
There are two integer answers : 6 and 7. Any value between 5.848 (cube root of 200) and 7.368 (cube root of 400) will satisfy the question.
-- Any number between 5.849 and 7.368 can do that. -- If you only want whole numbers, then 6 and 7 are the ones.